114907431168 has 216 divisors, whose sum is σ = 351136716000. Its totient is φ = 37064770560.

The previous prime is 114907431113. The next prime is 114907431259. The reversal of 114907431168 is 861134709411.

114907431168 is a `hidden beast` number, since 1 + 1 + 490 + 7 + 43 + 116 + 8 = 666.

114907431168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6633783 + ... + 6651081.

Almost surely, 2^114907431168 is an apocalyptic number.

114907431168 is a gapful number since it is divisible by the number (18) 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 114907431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175568358000).

114907431168 is an abundant number, since it is smaller than the sum of its proper divisors (236229284832).

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

114907431168 is an equidigital number, since it uses as much as digits as its factorization.

114907431168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17386 (or 17335 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 114907431168 in words is "one hundred fourteen billion, nine hundred seven million, four hundred thirty-one thousand, one hundred sixty-eight".