113016435840000 has 4400 divisors, whose sum is σ = 549094924578816. Its totient is φ = 22444646400000.

The previous prime is 113016435839987. The next prime is 113016435840037. The reversal of 113016435840000 is 48534610311.

113016435840000 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 1 + 643 + 5 + 8 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 91808639385 + ... + 91808640615.

Almost surely, 2^{113016435840000} is an apocalyptic number.

113016435840000 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 113016435840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274547462289408).

113016435840000 is an abundant number, since it is smaller than the sum of its proper divisors (436078488738816).

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

113016435840000 is a wasteful number, since it uses less digits than its factorization.

113016435840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 113016435840000 in words is "one hundred thirteen trillion, sixteen billion, four hundred thirty-five million, eight hundred forty thousand".