44351322315344 has 160 divisors (see below), whose sum is σ = 97082700595200. Its totient is φ = 19445702054400.

The previous prime is 44351322315299. The next prime is 44351322315367.

44351322315344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44351322315344² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44351322315295 and 44351322315304.

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, 3650608982 + ... + 3650621130.

It is an arithmetic number, because the mean of its divisors is an integer number (606766878720).

Almost surely, 2^{44351322315344} is an apocalyptic number.

44351322315344 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 44351322315344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48541350297600).

44351322315344 is an abundant number, since it is smaller than the sum of its proper divisors (52731378279856).

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

44351322315344 is a wasteful number, since it uses less digits than its factorization.

44351322315344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14329 (or 14323 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

The spelling of 44351322315344 in words is "forty-four trillion, three hundred fifty-one billion, three hundred twenty-two million, three hundred fifteen thousand, three hundred forty-four".