115476633569440 has 576 divisors, whose sum is σ = 328041480614400. Its totient is φ = 38070542315520.

The previous prime is 115476633569417. The next prime is 115476633569441. The reversal of 115476633569440 is 44965336674511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (115476633569441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6915174211 + ... + 6915190909.

It is an arithmetic number, because the mean of its divisors is an integer number (569516459400).

Almost surely, 2^{115476633569440} is an apocalyptic number.

115476633569440 is a gapful number since it is divisible by the number (10) 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 115476633569440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164020740307200).

115476633569440 is an abundant number, since it is smaller than the sum of its proper divisors (212564847044960).

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

115476633569440 is a wasteful number, since it uses less digits than its factorization.

115476633569440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17165 (or 17144 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 64.

The spelling of 115476633569440 in words is "one hundred fifteen trillion, four hundred seventy-six billion, six hundred thirty-three million, five hundred sixty-nine thousand, four hundred forty".