44311934016 has 315 divisors, whose sum is σ = 149004435671. Its totient is φ = 12589823232.

The previous prime is 44311933997. The next prime is 44311934027. The reversal of 44311934016 is 61043911344.

The square root of 44311934016 is 210504.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 247552615 + ... + 247552793.

Almost surely, 2^44311934016 is an apocalyptic number.

44311934016 is the 210504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44311934016

44311934016 is an abundant number, since it is smaller than the sum of its proper divisors (104692501655).

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

44311934016 is an frugal number, since it uses more digits than its factorization.

44311934016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 44311934016 by its sum of digits (36), we get a square (1595229624576 = 1263024²).

44311934016 divided by its sum of digits (36) gives a square (1230887056 = 35084²).

The spelling of 44311934016 in words is "forty-four billion, three hundred eleven million, nine hundred thirty-four thousand, sixteen".