114957884640 has 48 divisors (see below), whose sum is σ = 362117338128. Its totient is φ = 30655435776.

The previous prime is 114957884627. The next prime is 114957884659. The reversal of 114957884640 is 46488759411.

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, 119747317 + ... + 119748276.

It is an arithmetic number, because the mean of its divisors is an integer number (7544111211).

Almost surely, 2^114957884640 is an apocalyptic number.

114957884640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114957884640 is an abundant number, since it is smaller than the sum of its proper divisors (247159453488).

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

114957884640 is a wasteful number, since it uses less digits than its factorization.

114957884640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239495611 (or 239495603 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 114957884640 in words is "one hundred fourteen billion, nine hundred fifty-seven million, eight hundred eighty-four thousand, six hundred forty".