113613252756480 has 2640 divisors, whose sum is σ = 447461870575104. Its totient is φ = 27540805386240.

The previous prime is 113613252756467. The next prime is 113613252756491. The reversal of 113613252756480 is 84657252316311.

It is a happy number.

113613252756480 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 1 + 32 + 527 + 5 + 6 + 4 + 80 = 666.

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

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 509476469649 + ... + 509476469871.

Almost surely, 2^{113613252756480} is an apocalyptic number.

113613252756480 is a gapful number since it is divisible by the number (10) 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 113613252756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223730935287552).

113613252756480 is an abundant number, since it is smaller than the sum of its proper divisors (333848617818624).

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

113613252756480 is a wasteful number, since it uses less digits than its factorization.

113613252756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 113613252756480 in words is "one hundred thirteen trillion, six hundred thirteen billion, two hundred fifty-two million, seven hundred fifty-six thousand, four hundred eighty".