113375766528 has 192 divisors, whose sum is σ = 336471408000. Its totient is φ = 37721604096.

The previous prime is 113375766527. The next prime is 113375766551. The reversal of 113375766528 is 825667573311.

113375766528 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 7 + 57 + 66 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (113375766527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35774928 + ... + 35778096.

It is an arithmetic number, because the mean of its divisors is an integer number (1752455250).

Almost surely, 2^113375766528 is an apocalyptic number.

113375766528 is a gapful number since it is divisible by the number (18) 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 113375766528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168235704000).

113375766528 is an abundant number, since it is smaller than the sum of its proper divisors (223095641472).

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

113375766528 is an equidigital number, since it uses as much as digits as its factorization.

113375766528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3821 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 113375766528 in words is "one hundred thirteen billion, three hundred seventy-five million, seven hundred sixty-six thousand, five hundred twenty-eight".