344874572991648 has 384 divisors, whose sum is σ = 1218812582131200. Its totient is φ = 92616850980864.

The previous prime is 344874572991527. The next prime is 344874572991671. The reversal of 344874572991648 is 846199275478443.

344874572991648 is a `hidden beast` number, since 3 + 4 + 4 + 87 + 457 + 29 + 9 + 1 + 64 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75616198 + ... + 80047226.

It is an arithmetic number, because the mean of its divisors is an integer number (3173991099300).

Almost surely, 2^{344874572991648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344874572991648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609406291065600).

344874572991648 is an abundant number, since it is smaller than the sum of its proper divisors (873938009139552).

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

344874572991648 is a wasteful number, since it uses less digits than its factorization.

344874572991648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431829 (or 4431815 counting only the distinct ones).

The product of its digits is 11705057280, while the sum is 81.

The spelling of 344874572991648 in words is "three hundred forty-four trillion, eight hundred seventy-four billion, five hundred seventy-two million, nine hundred ninety-one thousand, six hundred forty-eight".