1084363822080 has 2310 divisors, whose sum is σ = 5000967184458. Its totient is φ = 225322352640.

The previous prime is 1084363822079. The next prime is 1084363822081. The reversal of 1084363822080 is 802283634801.

1084363822080 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 3 + 638 + 2 + 2 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1084363822079) and next prime (1084363822081).

It can be written as a sum of positive squares in only one way, i.e., 867491057664 + 216872764416 = 931392^2 + 465696^2 .

It is a tau number, because it is divible by the number of its divisors (2310).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084363822081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 98578529275 + ... + 98578529285.

Almost surely, 2^{1084363822080} is an apocalyptic number.

1084363822080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1084363822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500483592229).

1084363822080 is an abundant number, since it is smaller than the sum of its proper divisors (3916603362378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1084363822080 is an frugal number, since it uses more digits than its factorization.

1084363822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

Multiplying 1084363822080 by its sum of digits (45), we get a square (48796371993600 = 6985440²).

1084363822080 divided by its sum of digits (45) gives a square (24096973824 = 155232²).

The spelling of 1084363822080 in words is "one trillion, eighty-four billion, three hundred sixty-three million, eight hundred twenty-two thousand, eighty".