44468055063072 has 480 divisors, whose sum is σ = 138274214158080. Its totient is φ = 13980255782400.

The previous prime is 44468055063071. The next prime is 44468055063083. The reversal of 44468055063072 is 27036055086444.

44468055063072 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 80 + 550 + 6 + 3 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (44468055063071) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21937865323 + ... + 21937867349.

It is an arithmetic number, because the mean of its divisors is an integer number (288071279496).

Almost surely, 2^{44468055063072} 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 44468055063072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69137107079040).

44468055063072 is an abundant number, since it is smaller than the sum of its proper divisors (93806159095008).

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

44468055063072 is a wasteful number, since it uses less digits than its factorization.

44468055063072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 44468055063072 in words is "forty-four trillion, four hundred sixty-eight billion, fifty-five million, sixty-three thousand, seventy-two".