344465576448 has 160 divisors (see below), whose sum is σ = 1052653578240. Its totient is φ = 98054737920.

The previous prime is 344465576407. The next prime is 344465576461. The reversal of 344465576448 is 844675564443.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 344465576391 and 344465576400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2854683 + ... + 2972901.

It is an arithmetic number, because the mean of its divisors is an integer number (6579084864).

Almost surely, 2^344465576448 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 344465576448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526326789120).

344465576448 is an abundant number, since it is smaller than the sum of its proper divisors (708188001792).

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

344465576448 is a wasteful number, since it uses less digits than its factorization.

344465576448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118518 (or 118502 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 60.

The spelling of 344465576448 in words is "three hundred forty-four billion, four hundred sixty-five million, five hundred seventy-six thousand, four hundred forty-eight".