314457383754413 has 32 divisors (see below), whose sum is σ = 347390209797120. Its totient is φ = 283815524160000.

The previous prime is 314457383754361. The next prime is 314457383754427.

314457383754413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 314457383754413 - 2³⁴ = 314440203885229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314457383753413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38511695 + ... + 45957212.

It is an arithmetic number, because the mean of its divisors is an integer number (10855944056160).

Almost surely, 2^{314457383754413} is an apocalyptic number.

It is an amenable number.

314457383754413 is a deficient number, since it is larger than the sum of its proper divisors (32932826042707).

314457383754413 is a wasteful number, since it uses less digits than its factorization.

314457383754413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84469109.

The product of its digits is 203212800, while the sum is 62.

The spelling of 314457383754413 in words is "three hundred fourteen trillion, four hundred fifty-seven billion, three hundred eighty-three million, seven hundred fifty-four thousand, four hundred thirteen".