115658009542656 has 816 divisors, whose sum is σ = 392378734133568. Its totient is φ = 32139273830400.

The previous prime is 115658009542651. The next prime is 115658009542721. The reversal of 115658009542656 is 656245900856511.

115658009542656 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 5 + 80 + 0 + 9 + 542 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 115658009542593 and 115658009542602.

It is not an unprimeable number, because it can be changed into a prime (115658009542651) 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, 67203955876 + ... + 67203957596.

Almost surely, 2^{115658009542656} is an apocalyptic number.

115658009542656 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 115658009542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196189367066784).

115658009542656 is an abundant number, since it is smaller than the sum of its proper divisors (276720724590912).

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

115658009542656 is an equidigital number, since it uses as much as digits as its factorization.

115658009542656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 63.

The spelling of 115658009542656 in words is "one hundred fifteen trillion, six hundred fifty-eight billion, nine million, five hundred forty-two thousand, six hundred fifty-six".