344383710825264 has 80 divisors (see below), whose sum is σ = 970682153318400. Its totient is φ = 104342975412480.

The previous prime is 344383710825233. The next prime is 344383710825281. The reversal of 344383710825264 is 462528017383443.

It is a junction number, because it is equal to n+sod(n) for n = 344383710825198 and 344383710825207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45632464 + ... + 52641135.

It is an arithmetic number, because the mean of its divisors is an integer number (12133526916480).

Almost surely, 2^{344383710825264} is an apocalyptic number.

It is an amenable number.

344383710825264 is an abundant number, since it is smaller than the sum of its proper divisors (626298442493136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344383710825264 is a wasteful number, since it uses less digits than its factorization.

344383710825264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98280258 (or 98280252 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 60.

The spelling of 344383710825264 in words is "three hundred forty-four trillion, three hundred eighty-three billion, seven hundred ten million, eight hundred twenty-five thousand, two hundred sixty-four".