314646646413 has 16 divisors (see below), whose sum is σ = 465424934400. Its totient is φ = 187462818480.

The previous prime is 314646646399. The next prime is 314646646421.

314646646413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314646646413 - 2¹⁰ = 314646645389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314646646463) 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, 80800993 + ... + 80804886.

It is an arithmetic number, because the mean of its divisors is an integer number (29089058400).

Almost surely, 2^314646646413 is an apocalyptic number.

314646646413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314646646413 is a deficient number, since it is larger than the sum of its proper divisors (150778287987).

314646646413 is a wasteful number, since it uses less digits than its factorization.

314646646413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161605952.

The product of its digits is 2985984, while the sum is 48.

The spelling of 314646646413 in words is "three hundred fourteen billion, six hundred forty-six million, six hundred forty-six thousand, four hundred thirteen".