115946712000 has 672 divisors, whose sum is σ = 476045905920. Its totient is φ = 26388633600.

The previous prime is 115946711941. The next prime is 115946712019. The reversal of 115946712000 is 217649511.

115946712000 is a `hidden beast` number, since 1 + 1 + 594 + 67 + 1 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×115946712000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191015697 + ... + 191016303.

Almost surely, 2^115946712000 is an apocalyptic number.

115946712000 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 115946712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238022952960).

115946712000 is an abundant number, since it is smaller than the sum of its proper divisors (360099193920).

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

115946712000 is a wasteful number, since it uses less digits than its factorization.

115946712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 115946712000 in words is "one hundred fifteen billion, nine hundred forty-six million, seven hundred twelve thousand".