456064692936 has 128 divisors (see below), whose sum is σ = 1188021461760. Its totient is φ = 145771315200.

The previous prime is 456064692913. The next prime is 456064692949. The reversal of 456064692936 is 639296460654.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 456064692936.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121066525 + ... + 121070291.

It is an arithmetic number, because the mean of its divisors is an integer number (9281417670).

Almost surely, 2^456064692936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456064692936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594010730880).

456064692936 is an abundant number, since it is smaller than the sum of its proper divisors (731956768824).

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

456064692936 is a wasteful number, since it uses less digits than its factorization.

456064692936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 60.

The spelling of 456064692936 in words is "four hundred fifty-six billion, sixty-four million, six hundred ninety-two thousand, nine hundred thirty-six".