114766204131 has 32 divisors (see below), whose sum is σ = 170403648000. Its totient is φ = 76340172384.

The previous prime is 114766204117. The next prime is 114766204153. The reversal of 114766204131 is 131402667411.

114766204131 is a `hidden beast` number, since 1 + 14 + 7 + 6 + 620 + 4 + 13 + 1 = 666.

It is not a de Polignac number, because 114766204131 - 2¹⁰ = 114766203107 is a prime.

It is a super-2 number, since 2×114766204131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114766204031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34576890 + ... + 34580208.

It is an arithmetic number, because the mean of its divisors is an integer number (5325114000).

Almost surely, 2^114766204131 is an apocalyptic number.

114766204131 is a deficient number, since it is larger than the sum of its proper divisors (55637443869).

114766204131 is a wasteful number, since it uses less digits than its factorization.

114766204131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 5794 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 114766204131 in words is "one hundred fourteen billion, seven hundred sixty-six million, two hundred four thousand, one hundred thirty-one".