115207070452656 has 640 divisors, whose sum is σ = 398565850152960. Its totient is φ = 27818098790400.

The previous prime is 115207070452627. The next prime is 115207070452699. The reversal of 115207070452656 is 656254070702511.

It is a junction number, because it is equal to n+sod(n) for n = 115207070452599 and 115207070452608.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1885796671 + ... + 1885857761.

It is an arithmetic number, because the mean of its divisors is an integer number (622759140864).

Almost surely, 2^{115207070452656} is an apocalyptic number.

115207070452656 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 115207070452656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199282925076480).

115207070452656 is an abundant number, since it is smaller than the sum of its proper divisors (283358779700304).

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

115207070452656 is a wasteful number, since it uses less digits than its factorization.

115207070452656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61905 (or 61899 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 51.

The spelling of 115207070452656 in words is "one hundred fifteen trillion, two hundred seven billion, seventy million, four hundred fifty-two thousand, six hundred fifty-six".