456117649520 has 160 divisors (see below), whose sum is σ = 1231479305280. Its totient is φ = 155657134080.

The previous prime is 456117649513. The next prime is 456117649523. The reversal of 456117649520 is 25946711654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456117649523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528662 + ... + 1091658.

It is an arithmetic number, because the mean of its divisors is an integer number (7696745658).

Almost surely, 2^456117649520 is an apocalyptic number.

456117649520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456117649520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615739652640).

456117649520 is an abundant number, since it is smaller than the sum of its proper divisors (775361655760).

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

456117649520 is a wasteful number, since it uses less digits than its factorization.

456117649520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563083 (or 563077 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 456117649520 in words is "four hundred fifty-six billion, one hundred seventeen million, six hundred forty-nine thousand, five hundred twenty".