314423202324413 has 96 divisors (see below), whose sum is σ = 411703898256000. Its totient is φ = 237705581836800.

The previous prime is 314423202324409. The next prime is 314423202324433.

314423202324413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314423202324413 - 2² = 314423202324409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314423202324433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4065480698 + ... + 4065558036.

It is an arithmetic number, because the mean of its divisors is an integer number (4288582273500).

Almost surely, 2^{314423202324413} is an apocalyptic number.

It is an amenable number.

314423202324413 is a deficient number, since it is larger than the sum of its proper divisors (97280695931587).

314423202324413 is a wasteful number, since it uses less digits than its factorization.

314423202324413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79675 (or 79668 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 31442320 and 2324413, that added together give a palindrome (33766733).

The spelling of 314423202324413 in words is "three hundred fourteen trillion, four hundred twenty-three billion, two hundred two million, three hundred twenty-four thousand, four hundred thirteen".