114165504000 has 768 divisors, whose sum is σ = 429287040000. Its totient is φ = 29926195200.

The previous prime is 114165503981. The next prime is 114165504029. The reversal of 114165504000 is 405561411.

114165504000 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 655 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 573695901 + ... + 573696099.

It is an arithmetic number, because the mean of its divisors is an integer number (558967500).

Almost surely, 2^114165504000 is an apocalyptic number.

114165504000 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 114165504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520000).

114165504000 is an abundant number, since it is smaller than the sum of its proper divisors (315121536000).

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

114165504000 is an equidigital number, since it uses as much as digits as its factorization.

114165504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 114165504000 in words is "one hundred fourteen billion, one hundred sixty-five million, five hundred four thousand".