113425516560384 has 1920 divisors, whose sum is σ = 410707873311120. Its totient is φ = 31206351568896.

The previous prime is 113425516560383. The next prime is 113425516560397. The reversal of 113425516560384 is 483065615524311.

113425516560384 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 2 + 551 + 6 + 5 + 6 + 0 + 3 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113425516560384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113425516560383) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1169335222224 + ... + 1169335222320.

Almost surely, 2^{113425516560384} is an apocalyptic number.

113425516560384 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 113425516560384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205353936655560).

113425516560384 is an abundant number, since it is smaller than the sum of its proper divisors (297282356750736).

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

113425516560384 is an frugal number, since it uses more digits than its factorization.

113425516560384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 113425516560384 in words is "one hundred thirteen trillion, four hundred twenty-five billion, five hundred sixteen million, five hundred sixty thousand, three hundred eighty-four".