114812964000 has 1920 divisors, whose sum is σ = 526058717184. Its totient is φ = 23950080000.

The previous prime is 114812963999. The next prime is 114812964011. The reversal of 114812964000 is 469218411.

114812964000 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 1 + 2 + 9 + 640 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1617083965 + ... + 1617084035.

Almost surely, 2^114812964000 is an apocalyptic number.

114812964000 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 114812964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263029358592).

114812964000 is an abundant number, since it is smaller than the sum of its proper divisors (411245753184).

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

114812964000 is a wasteful number, since it uses less digits than its factorization.

114812964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 114812964000 in words is "one hundred fourteen billion, eight hundred twelve million, nine hundred sixty-four thousand".