113955625000000 has 693 divisors, whose sum is σ = 334291216298247. Its totient is φ = 38430000000000.

The previous prime is 113955624999911. The next prime is 113955625000031. The reversal of 113955625000000 is 526559311.

The square root of 113955625000000 is 10675000.

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

It can be written as a sum of positive squares in 16 ways, for example, as 106580185717824 + 7375439282176 = 10323768^2 + 2715776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 1868124999970 + ... + 1868125000030.

Almost surely, 2^{113955625000000} is an apocalyptic number.

113955625000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113955625000000 is the 10675000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113955625000000

113955625000000 is an abundant number, since it is smaller than the sum of its proper divisors (220335591298247).

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

113955625000000 is an frugal number, since it uses more digits than its factorization.

113955625000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 37.

The spelling of 113955625000000 in words is "one hundred thirteen trillion, nine hundred fifty-five billion, six hundred twenty-five million", and thus it is an aban number.