344544091887744 has 96 divisors (see below), whose sum is σ = 1133098873645440. Its totient is φ = 98441169108480.

The previous prime is 344544091887733. The next prime is 344544091887773. The reversal of 344544091887744 is 447788190445443.

344544091887744 is a `hidden beast` number, since 3 + 4 + 4 + 544 + 0 + 9 + 1 + 8 + 8 + 7 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21363092872 + ... + 21363108999.

It is an arithmetic number, because the mean of its divisors is an integer number (11803113267140).

Almost surely, 2^{344544091887744} is an apocalyptic number.

It is an amenable number.

344544091887744 is an abundant number, since it is smaller than the sum of its proper divisors (788554781757696).

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

344544091887744 is a wasteful number, since it uses less digits than its factorization.

344544091887744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42726201898 (or 42726201883 counting only the distinct ones).

The product of its (nonzero) digits is 1734082560, while the sum is 72.

The spelling of 344544091887744 in words is "three hundred forty-four trillion, five hundred forty-four billion, ninety-one million, eight hundred eighty-seven thousand, seven hundred forty-four".