113815434096 has 640 divisors, whose sum is σ = 420541972480. Its totient is φ = 29023764480.

The previous prime is 113815434067. The next prime is 113815434137. The reversal of 113815434096 is 690434518311.

113815434096 is a `hidden beast` number, since 1 + 13 + 8 + 1 + 543 + 4 + 0 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98711856 + ... + 98713008.

It is an arithmetic number, because the mean of its divisors is an integer number (657096832).

Almost surely, 2^113815434096 is an apocalyptic number.

113815434096 is a gapful number since it is divisible by the number (16) 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 113815434096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210270986240).

113815434096 is an abundant number, since it is smaller than the sum of its proper divisors (306726538384).

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

113815434096 is a wasteful number, since it uses less digits than its factorization.

113815434096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 113815434096 in words is "one hundred thirteen billion, eight hundred fifteen million, four hundred thirty-four thousand, ninety-six".