114051168000 has 1728 divisors, whose sum is σ = 529263221760. Its totient is φ = 22892544000.

The previous prime is 114051167941. The next prime is 114051168017. The reversal of 114051168000 is 861150411.

114051168000 is a `hidden beast` number, since 1 + 140 + 511 + 6 + 8 + 0 + 0 + 0 = 666.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 820511931 + ... + 820512069.

Almost surely, 2^114051168000 is an apocalyptic number.

114051168000 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 114051168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264631610880).

114051168000 is an abundant number, since it is smaller than the sum of its proper divisors (415212053760).

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

114051168000 is a wasteful number, since it uses less digits than its factorization.

114051168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 114051168000 in words is "one hundred fourteen billion, fifty-one million, one hundred sixty-eight thousand".