456001648000 has 64 divisors (see below), whose sum is σ = 1133734137120. Its totient is φ = 182400652800.

The previous prime is 456001647971. The next prime is 456001648013. The reversal of 456001648000 is 846100654.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14234052 + ... + 14266051.

Almost surely, 2^456001648000 is an apocalyptic number.

456001648000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456001648000 is an abundant number, since it is smaller than the sum of its proper divisors (677732489120).

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

456001648000 is an equidigital number, since it uses as much as digits as its factorization.

456001648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28500132 (or 28500110 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 456001648000 its reverse (846100654), we get a palindrome (456847748654).

The spelling of 456001648000 in words is "four hundred fifty-six billion, one million, six hundred forty-eight thousand".