244082385456 has 320 divisors, whose sum is σ = 798788874240. Its totient is φ = 62514385920.

The previous prime is 244082385427. The next prime is 244082385461. The reversal of 244082385456 is 654583280442.

It is a junction number, because it is equal to n+sod(n) for n = 244082385399 and 244082385408.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21384391 + ... + 21395801.

It is an arithmetic number, because the mean of its divisors is an integer number (2496215232).

Almost surely, 2^244082385456 is an apocalyptic number.

244082385456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244082385456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399394437120).

244082385456 is an abundant number, since it is smaller than the sum of its proper divisors (554706488784).

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

244082385456 is a wasteful number, since it uses less digits than its factorization.

244082385456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11584 (or 11578 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 51.

The spelling of 244082385456 in words is "two hundred forty-four billion, eighty-two million, three hundred eighty-five thousand, four hundred fifty-six".