44330644603344 has 160 divisors (see below), whose sum is σ = 126026822338560. Its totient is φ = 13426862148480.

The previous prime is 44330644603321. The next prime is 44330644603379.

44330644603344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44330644603344² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 44330644603293 and 44330644603302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129329817 + ... + 129672135.

It is an arithmetic number, because the mean of its divisors is an integer number (787667639616).

Almost surely, 2^{44330644603344} is an apocalyptic number.

44330644603344 is a gapful number since it is divisible by the number (44) 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 44330644603344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63013411169280).

44330644603344 is an abundant number, since it is smaller than the sum of its proper divisors (81696177735216).

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

44330644603344 is a wasteful number, since it uses less digits than its factorization.

44330644603344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344390 (or 344362 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 48.

The spelling of 44330644603344 in words is "forty-four trillion, three hundred thirty billion, six hundred forty-four million, six hundred three thousand, three hundred forty-four".