456754267875 has 64 divisors (see below), whose sum is σ = 763510640256. Its totient is φ = 242491392000.

The previous prime is 456754267861. The next prime is 456754267883. The reversal of 456754267875 is 578762457654.

It is not a de Polignac number, because 456754267875 - 2⁶ = 456754267811 is a prime.

It is a super-2 number, since 2×456754267875² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 216162819 + ... + 216164931.

It is an arithmetic number, because the mean of its divisors is an integer number (11929853754).

Almost surely, 2^456754267875 is an apocalyptic number.

456754267875 is a deficient number, since it is larger than the sum of its proper divisors (306756372381).

456754267875 is a wasteful number, since it uses less digits than its factorization.

456754267875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4479 counting only the distinct ones).

The product of its digits is 395136000, while the sum is 66.

The spelling of 456754267875 in words is "four hundred fifty-six billion, seven hundred fifty-four million, two hundred sixty-seven thousand, eight hundred seventy-five".