113552811671040 has 3360 divisors, whose sum is σ = 521988074910720. Its totient is φ = 23127855464448.

The previous prime is 113552811670843. The next prime is 113552811671149. The reversal of 113552811671040 is 40176118255311.

113552811671040 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 528 + 1 + 16 + 7 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 71732666089 + ... + 71732667671.

Almost surely, 2^{113552811671040} is an apocalyptic number.

113552811671040 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 113552811671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260994037455360).

113552811671040 is an abundant number, since it is smaller than the sum of its proper divisors (408435263239680).

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

113552811671040 is an equidigital number, since it uses as much as digits as its factorization.

113552811671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 113552811671040 in words is "one hundred thirteen trillion, five hundred fifty-two billion, eight hundred eleven million, six hundred seventy-one thousand, forty".