456721356671344 has 40 divisors (see below), whose sum is σ = 894053300355072. Its totient is φ = 226000725478080.

The previous prime is 456721356671341. The next prime is 456721356671383. The reversal of 456721356671344 is 443176653127654.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456721356671341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84926512 + ... + 90144079.

Almost surely, 2^{456721356671344} is an apocalyptic number.

It is an amenable number.

456721356671344 is a deficient number, since it is larger than the sum of its proper divisors (437331943683728).

456721356671344 is a wasteful number, since it uses less digits than its factorization.

456721356671344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175072285 (or 175072279 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 64.

The spelling of 456721356671344 in words is "four hundred fifty-six trillion, seven hundred twenty-one billion, three hundred fifty-six million, six hundred seventy-one thousand, three hundred forty-four".