114364120356 has 18 divisors (see below), whose sum is σ = 289087082102. Its totient is φ = 38121373440.

The previous prime is 114364120309. The next prime is 114364120399. The reversal of 114364120356 is 653021463411.

114364120356 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 641 + 2 + 0 + 3 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96242652900 + 18121467456 = 310230^2 + 134616^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3176781121 = 114364120356 / (1 + 1 + 4 + 3 + 6 + 4 + 1 + 2 + 0 + 3 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 114364120356.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1588390525 + ... + 1588390596.

Almost surely, 2^114364120356 is an apocalyptic number.

It is an amenable number.

114364120356 is an abundant number, since it is smaller than the sum of its proper divisors (174722961746).

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

114364120356 is a wasteful number, since it uses less digits than its factorization.

114364120356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176781131 (or 3176781126 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 114364120356 its reverse (653021463411), we get a palindrome (767385583767).

The spelling of 114364120356 in words is "one hundred fourteen billion, three hundred sixty-four million, one hundred twenty thousand, three hundred fifty-six".