44258436768 has 384 divisors, whose sum is σ = 149527365120. Its totient is φ = 11147673600.

The previous prime is 44258436763. The next prime is 44258436791. The reversal of 44258436768 is 86763485244.

It is not an unprimeable number, because it can be changed into a prime (44258436763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24573468 + ... + 24575268.

It is an arithmetic number, because the mean of its divisors is an integer number (389394180).

Almost surely, 2^44258436768 is an apocalyptic number.

44258436768 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 44258436768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74763682560).

44258436768 is an abundant number, since it is smaller than the sum of its proper divisors (105268928352).

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

44258436768 is a wasteful number, since it uses less digits than its factorization.

44258436768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1952 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 57.

The spelling of 44258436768 in words is "forty-four billion, two hundred fifty-eight million, four hundred thirty-six thousand, seven hundred sixty-eight".