44828745984 has 243 divisors, whose sum is σ = 142425913357. Its totient is φ = 13550592000.

The previous prime is 44828745971. The next prime is 44828745989. The reversal of 44828745984 is 48954782844.

The square root of 44828745984 is 211728.

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

44828745984 is a `hidden beast` number, since 4 + 482 + 8 + 74 + 5 + 9 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44382691584 + 446054400 = 210672^2 + 21120^2 .

It is a super-2 number, since 2×44828745984² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44828745989) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 111792184 + ... + 111792584.

Almost surely, 2^44828745984 is an apocalyptic number.

44828745984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

44828745984 is the 211728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44828745984

44828745984 is an abundant number, since it is smaller than the sum of its proper divisors (97597167373).

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

44828745984 is an equidigital number, since it uses as much as digits as its factorization.

44828745984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 417 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 44828745984 in words is "forty-four billion, eight hundred twenty-eight million, seven hundred forty-five thousand, nine hundred eighty-four".