344376856137431 has 32 divisors (see below), whose sum is σ = 385388401681920. Its totient is φ = 305538827328000.

The previous prime is 344376856137403. The next prime is 344376856137439. The reversal of 344376856137431 is 134731658673443.

It is a de Polignac number, because none of the positive numbers 2^k-344376856137431 is a prime.

It is a super-2 number, since 2×344376856137431² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344376856137439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5119974341 + ... + 5120041601.

It is an arithmetic number, because the mean of its divisors is an integer number (12043387552560).

Almost surely, 2^{344376856137431} is an apocalyptic number.

344376856137431 is a deficient number, since it is larger than the sum of its proper divisors (41011545544489).

344376856137431 is a wasteful number, since it uses less digits than its factorization.

344376856137431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128427.

The product of its digits is 365783040, while the sum is 65.

The spelling of 344376856137431 in words is "three hundred forty-four trillion, three hundred seventy-six billion, eight hundred fifty-six million, one hundred thirty-seven thousand, four hundred thirty-one".