314846626648413 has 16 divisors (see below), whose sum is σ = 419869161778752. Its totient is φ = 209860923264000.

The previous prime is 314846626648391. The next prime is 314846626648423.

314846626648413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314846626648413 - 2⁸ = 314846626648157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314846626648423) 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, 702055293 + ... + 702503613.

It is an arithmetic number, because the mean of its divisors is an integer number (26241822611172).

Almost surely, 2^{314846626648413} is an apocalyptic number.

It is an amenable number.

314846626648413 is a deficient number, since it is larger than the sum of its proper divisors (105022535130339).

314846626648413 is a wasteful number, since it uses less digits than its factorization.

314846626648413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488876.

The product of its digits is 382205952, while the sum is 66.

The spelling of 314846626648413 in words is "three hundred fourteen trillion, eight hundred forty-six billion, six hundred twenty-six million, six hundred forty-eight thousand, four hundred thirteen".