113203996416 has 288 divisors, whose sum is σ = 383280414720. Its totient is φ = 32285454336.

The previous prime is 113203996369. The next prime is 113203996469. The reversal of 113203996416 is 614699302311.

113203996416 is a `hidden beast` number, since 113 + 2 + 0 + 39 + 96 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31592961 + ... + 31596543.

Almost surely, 2^113203996416 is an apocalyptic number.

113203996416 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 113203996416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191640207360).

113203996416 is an abundant number, since it is smaller than the sum of its proper divisors (270076418304).

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

113203996416 is an equidigital number, since it uses as much as digits as its factorization.

113203996416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 113203996416 in words is "one hundred thirteen billion, two hundred three million, nine hundred ninety-six thousand, four hundred sixteen".