114917659919520 has 96 divisors (see below), whose sum is σ = 362006864053632. Its totient is φ = 30643334894592.

The previous prime is 114917659919471. The next prime is 114917659919549. The reversal of 114917659919520 is 25919956719411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×114917659919520² (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, 5366994 + ... + 16082286.

It is an arithmetic number, because the mean of its divisors is an integer number (3770904833892).

Almost surely, 2^{114917659919520} is an apocalyptic number.

114917659919520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114917659919520 is an abundant number, since it is smaller than the sum of its proper divisors (247089204134112).

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

114917659919520 is a wasteful number, since it uses less digits than its factorization.

114917659919520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10737654 (or 10737646 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 69.

The spelling of 114917659919520 in words is "one hundred fourteen trillion, nine hundred seventeen billion, six hundred fifty-nine million, nine hundred nineteen thousand, five hundred twenty".