115006836672 has 504 divisors, whose sum is σ = 411809748896. Its totient is φ = 29882400768.

The previous prime is 115006836649. The next prime is 115006836673. The reversal of 115006836672 is 276638600511.

115006836672 is a `hidden beast` number, since 1 + 1 + 500 + 6 + 83 + 6 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115006836673) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 415186998 + ... + 415187274.

Almost surely, 2^115006836672 is an apocalyptic number.

115006836672 is a gapful number since it is divisible by the number (12) 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 115006836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205904874448).

115006836672 is an abundant number, since it is smaller than the sum of its proper divisors (296802912224).

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

115006836672 is a wasteful number, since it uses less digits than its factorization.

115006836672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 115006836672 in words is "one hundred fifteen billion, six million, eight hundred thirty-six thousand, six hundred seventy-two".