1456313406364 has 48 divisors (see below), whose sum is σ = 2732962377600. Its totient is φ = 676564402176.

The previous prime is 1456313406349. The next prime is 1456313406467. The reversal of 1456313406364 is 4636043136541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69573052 + ... + 69593980.

It is an arithmetic number, because the mean of its divisors is an integer number (56936716200).

Almost surely, 2^{1456313406364} is an apocalyptic number.

It is an amenable number.

1456313406364 is a deficient number, since it is larger than the sum of its proper divisors (1276648971236).

1456313406364 is a wasteful number, since it uses less digits than its factorization.

1456313406364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33982 (or 33980 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 1456313406364 in words is "one trillion, four hundred fifty-six billion, three hundred thirteen million, four hundred six thousand, three hundred sixty-four".