44573827648 has 336 divisors, whose sum is σ = 111380064768. Its totient is φ = 17611776000.

The previous prime is 44573827609. The next prime is 44573827657. The reversal of 44573827648 is 84672837544.

It is a super-3 number, since 3×44573827648³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 44573827592 and 44573827601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211250263 + ... + 211250473.

It is an arithmetic number, because the mean of its divisors is an integer number (331488288).

Almost surely, 2^44573827648 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 44573827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55690032384).

44573827648 is an abundant number, since it is smaller than the sum of its proper divisors (66806237120).

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

44573827648 is a wasteful number, since it uses less digits than its factorization.

44573827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 345 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 58.

The spelling of 44573827648 in words is "forty-four billion, five hundred seventy-three million, eight hundred twenty-seven thousand, six hundred forty-eight".