113516663040 has 1296 divisors, whose sum is σ = 464123132928. Its totient is φ = 25546752000.

The previous prime is 113516663017. The next prime is 113516663129. The reversal of 113516663040 is 40366615311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113516662986 and 113516663004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1598826205 + ... + 1598826275.

Almost surely, 2^113516663040 is an apocalyptic number.

113516663040 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 113516663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232061566464).

113516663040 is an abundant number, since it is smaller than the sum of its proper divisors (350606469888).

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

113516663040 is a wasteful number, since it uses less digits than its factorization.

113516663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 113516663040 in words is "one hundred thirteen billion, five hundred sixteen million, six hundred sixty-three thousand, forty".