113127847926400 has 96 divisors (see below), whose sum is σ = 281005122450780. Its totient is φ = 45001132646400.

The previous prime is 113127847926389. The next prime is 113127847926407. The reversal of 113127847926400 is 4629748721311.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9306257979456 + 103821589946944 = 3050616^2 + 10189288^2 .

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (113127847926407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97079509 + ... + 98237908.

Almost surely, 2^{113127847926400} is an apocalyptic number.

113127847926400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113127847926400 is an abundant number, since it is smaller than the sum of its proper divisors (167877274524380).

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

113127847926400 is a wasteful number, since it uses less digits than its factorization.

113127847926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195317622 (or 195317605 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 113127847926400 in words is "one hundred thirteen trillion, one hundred twenty-seven billion, eight hundred forty-seven million, nine hundred twenty-six thousand, four hundred".