44321344312344 has 64 divisors (see below), whose sum is σ = 120878296704000. Its totient is φ = 13430498939520.

The previous prime is 44321344312307. The next prime is 44321344312361.

44321344312344 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×44321344312344³ (a number of 42 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44321344312296 and 44321344312305.

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, 15902362 + ... + 18480470.

It is an arithmetic number, because the mean of its divisors is an integer number (1888723386000).

Almost surely, 2^{44321344312344} is an apocalyptic number.

44321344312344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44321344312344 is an abundant number, since it is smaller than the sum of its proper divisors (76556952391656).

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

44321344312344 is a wasteful number, since it uses less digits than its factorization.

44321344312344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643248 (or 2643244 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 4432134 and 4312344, that added together give a palindrome (8744478).

The spelling of 44321344312344 in words is "forty-four trillion, three hundred twenty-one billion, three hundred forty-four million, three hundred twelve thousand, three hundred forty-four".