1456626400313 has 16 divisors (see below), whose sum is σ = 1680122400000. Its totient is φ = 1236983856192.

The previous prime is 1456626400301. The next prime is 1456626400379. The reversal of 1456626400313 is 3130046266541.

It is a de Polignac number, because none of the positive numbers 2^k-1456626400313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1456626400213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10459463 + ... + 10597811.

It is an arithmetic number, because the mean of its divisors is an integer number (105007650000).

Almost surely, 2^{1456626400313} is an apocalyptic number.

It is an amenable number.

1456626400313 is a deficient number, since it is larger than the sum of its proper divisors (223495999687).

1456626400313 is a wasteful number, since it uses less digits than its factorization.

1456626400313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152264.

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 1456626400313 in words is "one trillion, four hundred fifty-six billion, six hundred twenty-six million, four hundred thousand, three hundred thirteen".