456627271672 has 64 divisors (see below), whose sum is σ = 1006091251200. Its totient is φ = 191547296640.

The previous prime is 456627271669. The next prime is 456627271679. The reversal of 456627271672 is 276172726654.

It is a super-2 number, since 2×456627271672² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456627271679) 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, 5125573 + ... + 5213899.

It is an arithmetic number, because the mean of its divisors is an integer number (15720175800).

Almost surely, 2^456627271672 is an apocalyptic number.

It is an amenable number.

456627271672 is an abundant number, since it is smaller than the sum of its proper divisors (549463979528).

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

456627271672 is a wasteful number, since it uses less digits than its factorization.

456627271672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92876 (or 92872 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 55.

The spelling of 456627271672 in words is "four hundred fifty-six billion, six hundred twenty-seven million, two hundred seventy-one thousand, six hundred seventy-two".