44122333322144 has 96 divisors (see below), whose sum is σ = 108303894429696. Its totient is φ = 17189944600320.

The previous prime is 44122333322131. The next prime is 44122333322189.

44122333322144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44122333322098 and 44122333322107.

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, 77497457 + ... + 78064719.

It is an arithmetic number, because the mean of its divisors is an integer number (1128165566976).

Almost surely, 2^{44122333322144} is an apocalyptic number.

44122333322144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44122333322144 is an abundant number, since it is smaller than the sum of its proper divisors (64181561107552).

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

44122333322144 is a wasteful number, since it uses less digits than its factorization.

44122333322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598858 (or 598850 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 4412233 and 3322144, that added together give a palindrome (7734377).

The spelling of 44122333322144 in words is "forty-four trillion, one hundred twenty-two billion, three hundred thirty-three million, three hundred twenty-two thousand, one hundred forty-four".