114007976266752 has 66 divisors (see below), whose sum is σ = 329195557365428. Its totient is φ = 38002658752512.

The previous prime is 114007976266721. The next prime is 114007976266763. The reversal of 114007976266752 is 257662679700411.

114007976266752 is a `hidden beast` number, since 1 + 1 + 400 + 79 + 76 + 26 + 6 + 75 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114007976266752.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6185319358 + ... + 6185337789.

Almost surely, 2^{114007976266752} is an apocalyptic number.

114007976266752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114007976266752 is an abundant number, since it is smaller than the sum of its proper divisors (215187581098676).

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

114007976266752 is a wasteful number, since it uses less digits than its factorization.

114007976266752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12370657173 (or 12370657152 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 114007976266752 in words is "one hundred fourteen trillion, seven billion, nine hundred seventy-six million, two hundred sixty-six thousand, seven hundred fifty-two".