114166032625051 has 16 divisors (see below), whose sum is σ = 125702649676800. Its totient is φ = 102825514346400.

The previous prime is 114166032624979. The next prime is 114166032625067. The reversal of 114166032625051 is 150526230661411.

It is a cyclic number.

It is not a de Polignac number, because 114166032625051 - 2¹⁷ = 114166032493979 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114166032624989 and 114166032625007.

It is not an unprimeable number, because it can be changed into a prime (114166032625651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77208240 + ... + 78673021.

It is an arithmetic number, because the mean of its divisors is an integer number (7856415604800).

Almost surely, 2^{114166032625051} is an apocalyptic number.

114166032625051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114166032625051 is a deficient number, since it is larger than the sum of its proper divisors (11536617051749).

114166032625051 is a wasteful number, since it uses less digits than its factorization.

114166032625051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155881890.

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 114166032625051 in words is "one hundred fourteen trillion, one hundred sixty-six billion, thirty-two million, six hundred twenty-five thousand, fifty-one".