44890704768 has 576 divisors, whose sum is σ = 158317545600. Its totient is φ = 11201089536.

The previous prime is 44890704763. The next prime is 44890704823. The reversal of 44890704768 is 86740709844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44890704763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60417805 + ... + 60418547.

It is an arithmetic number, because the mean of its divisors is an integer number (274856850).

Almost surely, 2^44890704768 is an apocalyptic number.

44890704768 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 44890704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79158772800).

44890704768 is an abundant number, since it is smaller than the sum of its proper divisors (113426840832).

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

44890704768 is a wasteful number, since it uses less digits than its factorization.

44890704768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 44890704768 in words is "forty-four billion, eight hundred ninety million, seven hundred four thousand, seven hundred sixty-eight".