44944000000 has 231 divisors, whose sum is σ = 114462616891. Its totient is φ = 17638400000.

The previous prime is 44943999973. The next prime is 44944000001. The reversal of 44944000000 is 44944.

The square root of 44944000000 is 212000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 43224073216 + 1719926784 = 207904^2 + 41472^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44944000001) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 847999974 + ... + 848000026.

Almost surely, 2^44944000000 is an apocalyptic number.

44944000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44944000000 is the 212000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44944000000

44944000000 is an abundant number, since it is smaller than the sum of its proper divisors (69518616891).

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

44944000000 is an frugal number, since it uses more digits than its factorization.

44944000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Multiplying 44944000000 by its sum of digits (25), we get a square (1123600000000 = 1060000²).

44944000000 divided by its sum of digits (25) gives a square (1797760000 = 42400²).

Multiplying 44944000000 by its product of nonzero digits (2304), we get a square (103550976000000 = 10176000²).

Adding to 44944000000 its reverse (44944), we get a palindrome (44944044944).

44944000000 divided by its reverse (44944) gives a 6-th power (1000000 = 10⁶).

The spelling of 44944000000 in words is "forty-four billion, nine hundred forty-four million", and thus it is an aban number.