113475962880 has 768 divisors, whose sum is σ = 488255040000. Its totient is φ = 24404557824.

The previous prime is 113475962849. The next prime is 113475962917. The reversal of 113475962880 is 88269574311.

113475962880 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 7 + 5 + 9 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32899396 + ... + 32902844.

It is an arithmetic number, because the mean of its divisors is an integer number (635748750).

It is a 1-persistent number, because it is pandigital, but 2⋅113475962880 = 226951925760 is not.

Almost surely, 2^113475962880 is an apocalyptic number.

113475962880 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 113475962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244127520000).

113475962880 is an abundant number, since it is smaller than the sum of its proper divisors (374779077120).

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

113475962880 is a wasteful number, since it uses less digits than its factorization.

113475962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 113475962880 in words is "one hundred thirteen billion, four hundred seventy-five million, nine hundred sixty-two thousand, eight hundred eighty".