456322470912 has 1320 divisors, whose sum is σ = 1768722959520. Its totient is φ = 115842908160.

The previous prime is 456322470889. The next prime is 456322470943. The reversal of 456322470912 is 219074223654.

456322470912 is a `hidden beast` number, since 4 + 5 + 632 + 2 + 4 + 7 + 0 + 9 + 1 + 2 = 666.

It is a super-2 number, since 2×456322470912² (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 119 ways as a sum of consecutive naturals, for example, 2637702058 + ... + 2637702230.

It is an arithmetic number, because the mean of its divisors is an integer number (1339941636).

Almost surely, 2^456322470912 is an apocalyptic number.

456322470912 is a gapful number since it is divisible by the number (42) 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 456322470912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884361479760).

456322470912 is an abundant number, since it is smaller than the sum of its proper divisors (1312400488608).

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

456322470912 is a wasteful number, since it uses less digits than its factorization.

456322470912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 456322470912 in words is "four hundred fifty-six billion, three hundred twenty-two million, four hundred seventy thousand, nine hundred twelve".