115444015506 has 64 divisors (see below), whose sum is σ = 267802755840. Its totient is φ = 36793595520.

The previous prime is 115444015493. The next prime is 115444015549. The reversal of 115444015506 is 605510444511.

115444015506 is a `hidden beast` number, since 1 + 154 + 440 + 15 + 50 + 6 = 666.

It is a super-2 number, since 2×115444015506² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3352416 + ... + 3386676.

It is an arithmetic number, because the mean of its divisors is an integer number (4184418060).

Almost surely, 2^115444015506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115444015506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133901377920).

115444015506 is an abundant number, since it is smaller than the sum of its proper divisors (152358740334).

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

115444015506 is a wasteful number, since it uses less digits than its factorization.

115444015506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37008 (or 37002 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 115444015506 in words is "one hundred fifteen billion, four hundred forty-four million, fifteen thousand, five hundred six".