113624000451216 has 320 divisors, whose sum is σ = 363026364825600. Its totient is φ = 33876878054400.

The previous prime is 113624000451167. The next prime is 113624000451239. The reversal of 113624000451216 is 612154000426311.

113624000451216 is a `hidden beast` number, since 1 + 1 + 3 + 624 + 0 + 0 + 0 + 4 + 5 + 1 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4986625 + ... + 15878111.

It is an arithmetic number, because the mean of its divisors is an integer number (1134457390080).

Almost surely, 2^{113624000451216} is an apocalyptic number.

113624000451216 is a gapful number since it is divisible by the number (16) 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 113624000451216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181513182412800).

113624000451216 is an abundant number, since it is smaller than the sum of its proper divisors (249402364374384).

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

113624000451216 is a wasteful number, since it uses less digits than its factorization.

113624000451216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10891595 (or 10891583 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 113624000451216 its reverse (612154000426311), we get a palindrome (725778000877527).

The spelling of 113624000451216 in words is "one hundred thirteen trillion, six hundred twenty-four billion, four hundred fifty-one thousand, two hundred sixteen".