113912181152640 has 512 divisors, whose sum is σ = 446215281321600. Its totient is φ = 27282083807232.

The previous prime is 113912181152633. The next prime is 113912181152663. The reversal of 113912181152640 is 46251181219311.

113912181152640 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 1 + 2 + 1 + 81 + 1 + 526 + 40 = 666.

It is a super-3 number, since 3×113912181152640³ (a number of 43 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1459144 + ... + 15164216.

Almost surely, 2^{113912181152640} is an apocalyptic number.

113912181152640 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 113912181152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223107640660800).

113912181152640 is an abundant number, since it is smaller than the sum of its proper divisors (332303100168960).

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

113912181152640 is a wasteful number, since it uses less digits than its factorization.

113912181152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13705151 (or 13705133 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 113912181152640 in words is "one hundred thirteen trillion, nine hundred twelve billion, one hundred eighty-one million, one hundred fifty-two thousand, six hundred forty".