44438748025 has 81 divisors (see below), whose sum is σ = 67865994189. Its totient is φ = 28777412160.

The previous prime is 44438748007. The next prime is 44438748047. The reversal of 44438748025 is 52084783444.

The square root of 44438748025 is 210805.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17937512761 + 26501235264 = 133931^2 + 162792^2 .

It is not a de Polignac number, because 44438748025 - 2⁵ = 44438747993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 44438748025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 140185167 + ... + 140185483.

Almost surely, 2^44438748025 is an apocalyptic number.

44438748025 is the 210805-th square number.

44438748025 is the 105403-rd centered octagonal number.

It is an amenable number.

44438748025 is a deficient number, since it is larger than the sum of its proper divisors (23427246164).

44438748025 is an equidigital number, since it uses as much as digits as its factorization.

44438748025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 49.

Multiplying 44438748025 by its sum of digits (49), we get a square (2177498653225 = 1475635²).

44438748025 divided by its sum of digits (49) gives a square (906913225 = 30115²).

The spelling of 44438748025 in words is "forty-four billion, four hundred thirty-eight million, seven hundred forty-eight thousand, twenty-five".