344149571254464 has 336 divisors, whose sum is σ = 1047771377452800. Its totient is φ = 111967562843136.

The previous prime is 344149571254457. The next prime is 344149571254609. The reversal of 344149571254464 is 464452175941443.

344149571254464 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 4 + 9 + 571 + 2 + 54 + 4 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112061197 + ... + 115091315.

It is an arithmetic number, because the mean of its divisors is an integer number (3118367194800).

Almost surely, 2^{344149571254464} 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 344149571254464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523885688726400).

344149571254464 is an abundant number, since it is smaller than the sum of its proper divisors (703621806198336).

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

344149571254464 is a wasteful number, since it uses less digits than its factorization.

344149571254464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030322 (or 3030300 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 63.

The spelling of 344149571254464 in words is "three hundred forty-four trillion, one hundred forty-nine billion, five hundred seventy-one million, two hundred fifty-four thousand, four hundred sixty-four".