344984116225 has 48 divisors (see below), whose sum is σ = 494713872000. Its totient is φ = 233746951680.

The previous prime is 344984116207. The next prime is 344984116247. The reversal of 344984116225 is 522611489443.

It is not a de Polignac number, because 344984116225 - 2³⁵ = 310624377857 is a prime.

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, 26455407 + ... + 26468443.

It is an arithmetic number, because the mean of its divisors is an integer number (10306539000).

Almost surely, 2^344984116225 is an apocalyptic number.

344984116225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

344984116225 is a deficient number, since it is larger than the sum of its proper divisors (149729755775).

344984116225 is a wasteful number, since it uses less digits than its factorization.

344984116225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14842 (or 14837 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

The spelling of 344984116225 in words is "three hundred forty-four billion, nine hundred eighty-four million, one hundred sixteen thousand, two hundred twenty-five".