344063128816 has 80 divisors (see below), whose sum is σ = 747995339520. Its totient is φ = 151963176960.

The previous prime is 344063128807. The next prime is 344063128847. The reversal of 344063128816 is 618821360443.

It is a super-2 number, since 2×344063128816² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1342845 + ... + 1578403.

It is an arithmetic number, because the mean of its divisors is an integer number (9349941744).

Almost surely, 2^344063128816 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 344063128816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373997669760).

344063128816 is an abundant number, since it is smaller than the sum of its proper divisors (403932210704).

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

344063128816 is a wasteful number, since it uses less digits than its factorization.

344063128816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235814 (or 235808 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 344063128816 in words is "three hundred forty-four billion, sixty-three million, one hundred twenty-eight thousand, eight hundred sixteen".