1181104898400 has 648 divisors, whose sum is σ = 4858055564544. Its totient is φ = 269231155200.

The previous prime is 1181104898381. The next prime is 1181104898419. The reversal of 1181104898400 is 48984011811.

1181104898400 is a `hidden beast` number, since 1 + 1 + 8 + 110 + 48 + 98 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1181104898381) and next prime (1181104898419).

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

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 135118030 + ... + 135126770.

It is an arithmetic number, because the mean of its divisors is an integer number (7496999328).

Almost surely, 2^{1181104898400} is an apocalyptic number.

1181104898400 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 1181104898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429027782272).

1181104898400 is an abundant number, since it is smaller than the sum of its proper divisors (3676950666144).

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

1181104898400 is a wasteful number, since it uses less digits than its factorization.

1181104898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9141 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 1181104898400 in words is "one trillion, one hundred eighty-one billion, one hundred four million, eight hundred ninety-eight thousand, four hundred".