115386573456 has 240 divisors, whose sum is σ = 403121996160. Its totient is φ = 29932001280.

The previous prime is 115386573409. The next prime is 115386573457. The reversal of 115386573456 is 654375683511.

115386573456 is a `hidden beast` number, since 1 + 1 + 538 + 6 + 57 + 3 + 4 + 56 = 666.

It is a super-2 number, since 2×115386573456² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115386573457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9185676 + ... + 9198228.

It is an arithmetic number, because the mean of its divisors is an integer number (1679674984).

Almost surely, 2^115386573456 is an apocalyptic number.

115386573456 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 115386573456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201560998080).

115386573456 is an abundant number, since it is smaller than the sum of its proper divisors (287735422704).

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

115386573456 is a wasteful number, since it uses less digits than its factorization.

115386573456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13414 (or 13405 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 115386573456 in words is "one hundred fifteen billion, three hundred eighty-six million, five hundred seventy-three thousand, four hundred fifty-six".