456632249472 has 1024 divisors, whose sum is σ = 1729658880000. Its totient is φ = 115584454656.

The previous prime is 456632249429. The next prime is 456632249539. The reversal of 456632249472 is 274942236654.

456632249472 is a `hidden beast` number, since 4 + 5 + 6 + 63 + 22 + 494 + 72 = 666.

It is a super-2 number, since 2×456632249472² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 496879029 + ... + 496879947.

It is an arithmetic number, because the mean of its divisors is an integer number (1689120000).

Almost surely, 2^456632249472 is an apocalyptic number.

456632249472 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 456632249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864829440000).

456632249472 is an abundant number, since it is smaller than the sum of its proper divisors (1273026630528).

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

456632249472 is a wasteful number, since it uses less digits than its factorization.

456632249472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1020 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 456632249472 in words is "four hundred fifty-six billion, six hundred thirty-two million, two hundred forty-nine thousand, four hundred seventy-two".