44251112000 has 112 divisors (see below), whose sum is σ = 112550466288. Its totient is φ = 17221939200.

The previous prime is 44251111981. The next prime is 44251112011. The reversal of 44251112000 is 21115244.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12587044864 + 31664067136 = 112192^2 + 177944^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 221252 + ... + 370748.

Almost surely, 2^44251112000 is an apocalyptic number.

44251112000 is a gapful number since it is divisible by the number (40) 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 44251112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56275233144).

44251112000 is an abundant number, since it is smaller than the sum of its proper divisors (68299354288).

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

44251112000 is a wasteful number, since it uses less digits than its factorization.

44251112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149561 (or 149541 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 44251112000 its reverse (21115244), we get a palindrome (44272227244).

The spelling of 44251112000 in words is "forty-four billion, two hundred fifty-one million, one hundred twelve thousand".