113764245504 has 672 divisors, whose sum is σ = 391163129280. Its totient is φ = 29305995264.

The previous prime is 113764245431. The next prime is 113764245527. The reversal of 113764245504 is 405542467311.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2645680107 + ... + 2645680149.

It is an arithmetic number, because the mean of its divisors is an integer number (582087990).

Almost surely, 2^113764245504 is an apocalyptic number.

113764245504 is a gapful number since it is divisible by the number (14) 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 113764245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195581564640).

113764245504 is an abundant number, since it is smaller than the sum of its proper divisors (277398883776).

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

113764245504 is an frugal number, since it uses more digits than its factorization.

113764245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 113764245504 in words is "one hundred thirteen billion, seven hundred sixty-four million, two hundred forty-five thousand, five hundred four".