344141796496 has 45 divisors (see below), whose sum is σ = 708386065369. Its totient is φ = 161930308352.

The previous prime is 344141796403. The next prime is 344141796517. The reversal of 344141796496 is 694697141443.

The square root of 344141796496 is 586636.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 267930464400 + 76211332096 = 517620^2 + 276064^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 344141796496.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39886935 + ... + 39895561.

Almost surely, 2^344141796496 is an apocalyptic number.

344141796496 is the 586636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344141796496

344141796496 is an abundant number, since it is smaller than the sum of its proper divisors (364244268873).

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

344141796496 is an frugal number, since it uses more digits than its factorization.

344141796496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17296 (or 8646 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 58.

The spelling of 344141796496 in words is "three hundred forty-four billion, one hundred forty-one million, seven hundred ninety-six thousand, four hundred ninety-six".