113504246279424 has 3240 divisors, whose sum is σ = 476270663387904. Its totient is φ = 26617160908800.

The previous prime is 113504246279419. The next prime is 113504246279483. The reversal of 113504246279424 is 424972642405311.

113504246279424 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 0 + 4 + 2 + 4 + 627 + 9 + 4 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 75118626829 + ... + 75118628339.

Almost surely, 2^{113504246279424} is an apocalyptic number.

113504246279424 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 113504246279424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238135331693952).

113504246279424 is an abundant number, since it is smaller than the sum of its proper divisors (362766417108480).

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

113504246279424 is a wasteful number, since it uses less digits than its factorization.

113504246279424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 113504246279424 in words is "one hundred thirteen trillion, five hundred four billion, two hundred forty-six million, two hundred seventy-nine thousand, four hundred twenty-four".