314644363446413 has 48 divisors (see below), whose sum is σ = 425680801096320. Its totient is φ = 226306573004160.

The previous prime is 314644363446401. The next prime is 314644363446437.

314644363446413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314644363446413 - 2¹² = 314644363442317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314644363446473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228220406 + ... + 229594952.

It is an arithmetic number, because the mean of its divisors is an integer number (8868350022840).

Almost surely, 2^{314644363446413} is an apocalyptic number.

It is an amenable number.

314644363446413 is a deficient number, since it is larger than the sum of its proper divisors (111036437649907).

314644363446413 is a wasteful number, since it uses less digits than its factorization.

314644363446413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395378 (or 1395367 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 56.

The spelling of 314644363446413 in words is "three hundred fourteen trillion, six hundred forty-four billion, three hundred sixty-three million, four hundred forty-six thousand, four hundred thirteen".