314437282734413 has 32 divisors (see below), whose sum is σ = 330482304122880. Its totient is φ = 298812084480000.

The previous prime is 314437282734319. The next prime is 314437282734431.

314437282734413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 314437282734413 - 2³² = 314432987767117 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 (314437282739413) 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, 1240898393 + ... + 1241151761.

It is an arithmetic number, because the mean of its divisors is an integer number (10327572003840).

Almost surely, 2^{314437282734413} is an apocalyptic number.

It is an amenable number.

314437282734413 is a deficient number, since it is larger than the sum of its proper divisors (16045021388467).

314437282734413 is a wasteful number, since it uses less digits than its factorization.

314437282734413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256749.

The product of its digits is 32514048, while the sum is 56.

The spelling of 314437282734413 in words is "three hundred fourteen trillion, four hundred thirty-seven billion, two hundred eighty-two million, seven hundred thirty-four thousand, four hundred thirteen".