310745464547013 has 64 divisors (see below), whose sum is σ = 462833025408000. Its totient is φ = 206054450380800.

The previous prime is 310745464547003. The next prime is 310745464547123.

310745464547013 is a `hidden beast` number, since 3 + 1 + 0 + 7 + 4 + 546 + 45 + 47 + 0 + 13 = 666.

310745464547013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310745464547013 - 2⁴ = 310745464546997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310745464547003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28775387188 + ... + 28775397986.

It is an arithmetic number, because the mean of its divisors is an integer number (7231766022000).

Almost surely, 2^{310745464547013} is an apocalyptic number.

It is an amenable number.

310745464547013 is a deficient number, since it is larger than the sum of its proper divisors (152087560860987).

310745464547013 is a wasteful number, since it uses less digits than its factorization.

310745464547013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15499 (or 15493 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 310745464547013 in words is "three hundred ten trillion, seven hundred forty-five billion, four hundred sixty-four million, five hundred forty-seven thousand, thirteen".