113114776320 has 1440 divisors, whose sum is σ = 525197460480. Its totient is φ = 22574039040.

The previous prime is 113114776309. The next prime is 113114776321. The reversal of 113114776320 is 23677411311.

It is a happy number.

113114776320 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 14 + 7 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113114776321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 179262405 + ... + 179263035.

Almost surely, 2^113114776320 is an apocalyptic number.

113114776320 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 113114776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262598730240).

113114776320 is an abundant number, since it is smaller than the sum of its proper divisors (412082684160).

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

113114776320 is a wasteful number, since it uses less digits than its factorization.

113114776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 113114776320 in words is "one hundred thirteen billion, one hundred fourteen million, seven hundred seventy-six thousand, three hundred twenty".