44559398983968 has 2304 divisors, whose sum is σ = 165622902681600. Its totient is φ = 11174003343360.

The previous prime is 44559398983919. The next prime is 44559398983997. The reversal of 44559398983968 is 86938989395544.

44559398983968 is a `hidden beast` number, since 4 + 4 + 5 + 59 + 398 + 9 + 83 + 96 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 173382875296 + ... + 173382875552.

It is an arithmetic number, because the mean of its divisors is an integer number (71884940400).

Almost surely, 2^{44559398983968} is an apocalyptic number.

44559398983968 is a gapful number since it is divisible by the number (48) 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 44559398983968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82811451340800).

44559398983968 is an abundant number, since it is smaller than the sum of its proper divisors (121063503697632).

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

44559398983968 is a wasteful number, since it uses less digits than its factorization.

44559398983968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 524 counting only the distinct ones).

The product of its digits is 72559411200, while the sum is 90.

The spelling of 44559398983968 in words is "forty-four trillion, five hundred fifty-nine billion, three hundred ninety-eight million, nine hundred eighty-three thousand, nine hundred sixty-eight".