456376440048 has 60 divisors (see below), whose sum is σ = 1252403319480. Its totient is φ = 143176918016.

The previous prime is 456376440001. The next prime is 456376440059. The reversal of 456376440048 is 840044673654.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16435683 + ... + 16463426.

It is an arithmetic number, because the mean of its divisors is an integer number (20873388658).

Almost surely, 2^456376440048 is an apocalyptic number.

456376440048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

456376440048 is an abundant number, since it is smaller than the sum of its proper divisors (796026879432).

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

456376440048 is a wasteful number, since it uses less digits than its factorization.

456376440048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32899154 (or 32899131 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 456376440048 in words is "four hundred fifty-six billion, three hundred seventy-six million, four hundred forty thousand, forty-eight".