113093981952 has 288 divisors, whose sum is σ = 352261324800. Its totient is φ = 32197939200.

The previous prime is 113093981951. The next prime is 113093981983. The reversal of 113093981952 is 259189390311.

113093981952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 113093981895 and 113093981904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113093981951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98256577 + ... + 98257727.

It is an arithmetic number, because the mean of its divisors is an integer number (1223129600).

Almost surely, 2^113093981952 is an apocalyptic number.

113093981952 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 113093981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176130662400).

113093981952 is an abundant number, since it is smaller than the sum of its proper divisors (239167342848).

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

113093981952 is an equidigital number, since it uses as much as digits as its factorization.

113093981952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 51.

The spelling of 113093981952 in words is "one hundred thirteen billion, ninety-three million, nine hundred eighty-one thousand, nine hundred fifty-two".