344431401343199 has 16 divisors (see below), whose sum is σ = 367518373238016. Its totient is φ = 321665262038400.

The previous prime is 344431401343153. The next prime is 344431401343219. The reversal of 344431401343199 is 991343104134443.

It is a cyclic number.

It is not a de Polignac number, because 344431401343199 - 2⁸ = 344431401342943 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 344431401343199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344431401343399) 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, 104614817 + ... + 107856954.

It is an arithmetic number, because the mean of its divisors is an integer number (22969898327376).

Almost surely, 2^{344431401343199} is an apocalyptic number.

344431401343199 is a deficient number, since it is larger than the sum of its proper divisors (23086971894817).

344431401343199 is a wasteful number, since it uses less digits than its factorization.

344431401343199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212472526.

The product of its (nonzero) digits is 6718464, while the sum is 53.

The spelling of 344431401343199 in words is "three hundred forty-four trillion, four hundred thirty-one billion, four hundred one million, three hundred forty-three thousand, one hundred ninety-nine".