115447631560400 has 30 divisors (see below), whose sum is σ = 277362934824822. Its totient is φ = 46179052624000.

The previous prime is 115447631560399. The next prime is 115447631560403. The reversal of 115447631560400 is 4065136744511.

It can be written as a sum of positive squares in 3 ways, for example, as 701801605696 + 114745829954704 = 837736^2 + 10711948^2 .

It is a super-2 number, since 2×115447631560400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115447631560403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144309539051 + ... + 144309539850.

Almost surely, 2^{115447631560400} is an apocalyptic number.

115447631560400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115447631560400 is an abundant number, since it is smaller than the sum of its proper divisors (161915303264422).

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

115447631560400 is a wasteful number, since it uses less digits than its factorization.

115447631560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288619078919 (or 288619078908 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 115447631560400 in words is "one hundred fifteen trillion, four hundred forty-seven billion, six hundred thirty-one million, five hundred sixty thousand, four hundred".