1118061584640 has 3888 divisors, whose sum is σ = 5778638349120. Its totient is φ = 203166351360.

The previous prime is 1118061584639. The next prime is 1118061584669. The reversal of 1118061584640 is 464851608111.

1118061584640 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 0 + 6 + 1 + 584 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

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 (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 58845346551 + ... + 58845346569.

Almost surely, 2^{1118061584640} is an apocalyptic number.

1118061584640 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 1118061584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889319174560).

1118061584640 is an abundant number, since it is smaller than the sum of its proper divisors (4660576764480).

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

1118061584640 is an equidigital number, since it uses as much as digits as its factorization.

1118061584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1118061584640 in words is "one trillion, one hundred eighteen billion, sixty-one million, five hundred eighty-four thousand, six hundred forty".