456000114189 has 16 divisors (see below), whose sum is σ = 608913950720. Its totient is φ = 303543359280.

The previous prime is 456000114187. The next prime is 456000114239. The reversal of 456000114189 is 981411000654.

It is not a de Polignac number, because 456000114189 - 2¹ = 456000114187 is a prime.

It is a super-2 number, since 2×456000114189² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456000114181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11386002 + ... + 11425980.

It is an arithmetic number, because the mean of its divisors is an integer number (38057121920).

Almost surely, 2^456000114189 is an apocalyptic number.

It is an amenable number.

456000114189 is a deficient number, since it is larger than the sum of its proper divisors (152913836531).

456000114189 is a wasteful number, since it uses less digits than its factorization.

456000114189 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45600.

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 456000114189 in words is "four hundred fifty-six billion, one hundred fourteen thousand, one hundred eighty-nine".