114164131635 has 48 divisors (see below), whose sum is σ = 209659342464. Its totient is φ = 57269108736.

The previous prime is 114164131577. The next prime is 114164131643. The reversal of 114164131635 is 536131461411.

114164131635 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 6 + 4 + 13 + 1 + 635 = 666.

It is not a de Polignac number, because 114164131635 - 2⁷ = 114164131507 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114164131635.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1163859 + ... + 1258131.

It is an arithmetic number, because the mean of its divisors is an integer number (4367902968).

Almost surely, 2^114164131635 is an apocalyptic number.

114164131635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114164131635 is a deficient number, since it is larger than the sum of its proper divisors (95495210829).

114164131635 is a wasteful number, since it uses less digits than its factorization.

114164131635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95884 (or 95881 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 114164131635 in words is "one hundred fourteen billion, one hundred sixty-four million, one hundred thirty-one thousand, six hundred thirty-five".