456714475074 has 72 divisors (see below), whose sum is σ = 1171353175356. Its totient is φ = 127752292800.

The previous prime is 456714475043. The next prime is 456714475097. The reversal of 456714475074 is 470574417654.

456714475074 is a `hidden beast` number, since 4 + 567 + 1 + 4 + 4 + 7 + 5 + 0 + 74 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 447838008849 + 8876466225 = 669207^2 + 94215^2 .

It is a super-2 number, since 2×456714475074² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 456714475074.

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 35 ways as a sum of consecutive naturals, for example, 8036857 + ... + 8093484.

Almost surely, 2^456714475074 is an apocalyptic number.

456714475074 is an abundant number, since it is smaller than the sum of its proper divisors (714638700282).

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

456714475074 is a wasteful number, since it uses less digits than its factorization.

456714475074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16130384 (or 16130370 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 456714475074 in words is "four hundred fifty-six billion, seven hundred fourteen million, four hundred seventy-five thousand, seventy-four".