44351111115344 has 80 divisors (see below), whose sum is σ = 97852938153984. Its totient is φ = 19276177852800.

The previous prime is 44351111115253. The next prime is 44351111115359.

44351111115344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44351111115298 and 44351111115307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9335177 + ... + 13260759.

Almost surely, 2^{44351111115344} is an apocalyptic number.

44351111115344 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 44351111115344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48926469076992).

44351111115344 is an abundant number, since it is smaller than the sum of its proper divisors (53501827038640).

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

44351111115344 is a wasteful number, since it uses less digits than its factorization.

44351111115344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928416 (or 3928410 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The spelling of 44351111115344 in words is "forty-four trillion, three hundred fifty-one billion, one hundred eleven million, one hundred fifteen thousand, three hundred forty-four".