44271456768 has 960 divisors, whose sum is σ = 174155520000. Its totient is φ = 10839121920.

The previous prime is 44271456767. The next prime is 44271456799. The reversal of 44271456768 is 86765417244.

44271456768 is a `hidden beast` number, since 4 + 4 + 2 + 7 + 14 + 567 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44271456767) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 222469533 + ... + 222469731.

It is an arithmetic number, because the mean of its divisors is an integer number (181412000).

Almost surely, 2^44271456768 is an apocalyptic number.

44271456768 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 44271456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87077760000).

44271456768 is an abundant number, since it is smaller than the sum of its proper divisors (129884063232).

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

44271456768 is a wasteful number, since it uses less digits than its factorization.

44271456768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 241 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

It can be divided in two parts, 4427 and 1456768, that added together give a triangular number (1461195 = T₁₇₀₉).

The spelling of 44271456768 in words is "forty-four billion, two hundred seventy-one million, four hundred fifty-six thousand, seven hundred sixty-eight".