44816731344 has 240 divisors, whose sum is σ = 159026250240. Its totient is φ = 11443242240.

The previous prime is 44816731319. The next prime is 44816731409. The reversal of 44816731344 is 44313761844.

44816731344 is a `hidden beast` number, since 448 + 1 + 6 + 73 + 134 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 44816731344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619939 + ... + 688445.

It is an arithmetic number, because the mean of its divisors is an integer number (662609376).

Almost surely, 2^44816731344 is an apocalyptic number.

44816731344 is a gapful number since it is divisible by the number (44) 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 44816731344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79513125120).

44816731344 is an abundant number, since it is smaller than the sum of its proper divisors (114209518896).

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

44816731344 is a wasteful number, since it uses less digits than its factorization.

44816731344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68598 (or 68589 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 44816731344 in words is "forty-four billion, eight hundred sixteen million, seven hundred thirty-one thousand, three hundred forty-four".