114306125664 has 48 divisors (see below), whose sum is σ = 300091151808. Its totient is φ = 38097270912.

The previous prime is 114306125621. The next prime is 114306125677. The reversal of 114306125664 is 466521603411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 742519 + ... + 883145.

It is an arithmetic number, because the mean of its divisors is an integer number (6251898996).

Almost surely, 2^114306125664 is an apocalyptic number.

It is an amenable number.

114306125664 is an abundant number, since it is smaller than the sum of its proper divisors (185785026144).

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

114306125664 is a wasteful number, since it uses less digits than its factorization.

114306125664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149107 (or 149099 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 114306125664 in words is "one hundred fourteen billion, three hundred six million, one hundred twenty-five thousand, six hundred sixty-four".