456478113792 has 240 divisors, whose sum is σ = 1249015127360. Its totient is φ = 148239286272.

The previous prime is 456478113781. The next prime is 456478113941. The reversal of 456478113792 is 297311874654.

It is a super-2 number, since 2×456478113792² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 319438134 + ... + 319439562.

Almost surely, 2^456478113792 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 456478113792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624507563680).

456478113792 is an abundant number, since it is smaller than the sum of its proper divisors (792537013568).

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

456478113792 is an equidigital number, since it uses as much as digits as its factorization.

456478113792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1598 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The spelling of 456478113792 in words is "four hundred fifty-six billion, four hundred seventy-eight million, one hundred thirteen thousand, seven hundred ninety-two".