113328574464 has 416 divisors, whose sum is σ = 355927127040. Its totient is φ = 31404589056.

The previous prime is 113328574459. The next prime is 113328574481. The reversal of 113328574464 is 464475823311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 695267247 + ... + 695267409.

Almost surely, 2^113328574464 is an apocalyptic number.

113328574464 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 113328574464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177963563520).

113328574464 is an abundant number, since it is smaller than the sum of its proper divisors (242598552576).

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

113328574464 is a wasteful number, since it uses less digits than its factorization.

113328574464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 371 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 113328574464 in words is "one hundred thirteen billion, three hundred twenty-eight million, five hundred seventy-four thousand, four hundred sixty-four".