113622926400 has 315 divisors, whose sum is σ = 411608913001. Its totient is φ = 29727759360.

The previous prime is 113622926387. The next prime is 113622926419. The reversal of 113622926400 is 4629226311.

It is a happy number.

The square root of 113622926400 is 337080.

It is a perfect power (a square), and thus also a powerful number.

113622926400 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 2 + 2 + 9 + 2 + 640 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 23276994624 + 90345931776 = 152568^2 + 300576^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2143828774 + ... + 2143828826.

Almost surely, 2^113622926400 is an apocalyptic number.

113622926400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113622926400 is the 337080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113622926400

113622926400 is an abundant number, since it is smaller than the sum of its proper divisors (297985986601).

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

113622926400 is an frugal number, since it uses more digits than its factorization.

113622926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 113622926400 by its sum of digits (36), we get a square (4090425350400 = 2022480²).

113622926400 divided by its sum of digits (36) gives a square (3156192400 = 56180²).

The spelling of 113622926400 in words is "one hundred thirteen billion, six hundred twenty-two million, nine hundred twenty-six thousand, four hundred".