115135664499216 has 30 divisors (see below), whose sum is σ = 322219949953070. Its totient is φ = 38378554833024.

The previous prime is 115135664499199. The next prime is 115135664499227. The reversal of 115135664499216 is 612994466531511.

115135664499216 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 3 + 566 + 4 + 49 + 9 + 21 + 6 = 666.

115135664499216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 111441888012816 + 3693776486400 = 10556604^2 + 1921920^2 .

It is a super-2 number, since 2×115135664499216² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 399776612701 + ... + 399776612988.

Almost surely, 2^{115135664499216} is an apocalyptic number.

115135664499216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

115135664499216 is an abundant number, since it is smaller than the sum of its proper divisors (207084285453854).

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

115135664499216 is a wasteful number, since it uses less digits than its factorization.

115135664499216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799553225703 (or 799553225694 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 115135664499216 in words is "one hundred fifteen trillion, one hundred thirty-five billion, six hundred sixty-four million, four hundred ninety-nine thousand, two hundred sixteen".