456670144061504 has 112 divisors (see below), whose sum is σ = 950435378629632. Its totient is φ = 217293005309952.

The previous prime is 456670144061497. The next prime is 456670144061531. The reversal of 456670144061504 is 405160441076654.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529045682 + ... + 529908174.

It is an arithmetic number, because the mean of its divisors is an integer number (8486030166336).

Almost surely, 2^{456670144061504} 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 456670144061504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475217689314816).

456670144061504 is an abundant number, since it is smaller than the sum of its proper divisors (493765234568128).

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

456670144061504 is a wasteful number, since it uses less digits than its factorization.

456670144061504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864364 (or 864354 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 53.

The spelling of 456670144061504 in words is "four hundred fifty-six trillion, six hundred seventy billion, one hundred forty-four million, sixty-one thousand, five hundred four".