114517767113160 has 64 divisors (see below), whose sum is σ = 344572747459200. Its totient is φ = 30447453797376.

The previous prime is 114517767113111. The next prime is 114517767113209. The reversal of 114517767113160 is 61311767715411.

It is an interprime number because it is at equal distance from previous prime (114517767113111) and next prime (114517767113209).

It is a super-2 number, since 2×114517767113160² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1415856780 + ... + 1415937659.

It is an arithmetic number, because the mean of its divisors is an integer number (5383949179050).

Almost surely, 2^{114517767113160} is an apocalyptic number.

114517767113160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114517767113160 is an abundant number, since it is smaller than the sum of its proper divisors (230054980346040).

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

114517767113160 is a wasteful number, since it uses less digits than its factorization.

114517767113160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831794790 (or 2831794786 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 51.

The spelling of 114517767113160 in words is "one hundred fourteen trillion, five hundred seventeen billion, seven hundred sixty-seven million, one hundred thirteen thousand, one hundred sixty".