456400671467382 has 32 divisors (see below), whose sum is σ = 1015791293606400. Its totient is φ = 151898420270664.

The previous prime is 456400671467347. The next prime is 456400671467383. The reversal of 456400671467382 is 283764176004654.

456400671467382 is a `hidden beast` number, since 4 + 5 + 6 + 400 + 6 + 7 + 146 + 7 + 3 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456400671467383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6531544882 + ... + 6531614757.

It is an arithmetic number, because the mean of its divisors is an integer number (31743477925200).

Almost surely, 2^{456400671467382} is an apocalyptic number.

456400671467382 is an abundant number, since it is smaller than the sum of its proper divisors (559390622139018).

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

456400671467382 is a wasteful number, since it uses less digits than its factorization.

456400671467382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13063160297 (or 13063160291 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 456400671467382 in words is "four hundred fifty-six trillion, four hundred billion, six hundred seventy-one million, four hundred sixty-seven thousand, three hundred eighty-two".