113776330752 has 192 divisors, whose sum is σ = 385181596800. Its totient is φ = 32507412480.

The previous prime is 113776330739. The next prime is 113776330753. The reversal of 113776330752 is 257033677311.

113776330752 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 7 + 633 + 0 + 7 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113776330698 and 113776330707.

It is not an unprimeable number, because it can be changed into a prime (113776330753) 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, 240102 + ... + 534042.

It is an arithmetic number, because the mean of its divisors is an integer number (2006154150).

Almost surely, 2^113776330752 is an apocalyptic number.

113776330752 is a gapful number since it is divisible by the number (12) 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 113776330752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192590798400).

113776330752 is an abundant number, since it is smaller than the sum of its proper divisors (271405266048).

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

113776330752 is an equidigital number, since it uses as much as digits as its factorization.

113776330752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293979 (or 293953 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 113776330752 in words is "one hundred thirteen billion, seven hundred seventy-six million, three hundred thirty thousand, seven hundred fifty-two".