44320113000 has 192 divisors, whose sum is σ = 151288272720. Its totient is φ = 11701440000.

The previous prime is 44320112999. The next prime is 44320113037. The reversal of 44320113000 is 31102344.

44320113000 is a `hidden beast` number, since 44 + 320 + 1 + 1 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3781512036 + 40538600964 = 61494^2 + 201342^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884622 + ... + 933378.

Almost surely, 2^44320113000 is an apocalyptic number.

44320113000 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 44320113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75644136360).

44320113000 is an abundant number, since it is smaller than the sum of its proper divisors (106968159720).

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

44320113000 is a wasteful number, since it uses less digits than its factorization.

44320113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48885 (or 48868 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 44320113000 its reverse (31102344), we get a palindrome (44351215344).

The spelling of 44320113000 in words is "forty-four billion, three hundred twenty million, one hundred thirteen thousand".