44354045344 has 192 divisors, whose sum is σ = 104467636224. Its totient is φ = 18144000000.

The previous prime is 44354045327. The next prime is 44354045353.

44354045344 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 44354045297 and 44354045306.

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, 163667929 + ... + 163668199.

It is an arithmetic number, because the mean of its divisors is an integer number (544102272).

Almost surely, 2^44354045344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44354045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52233818112).

44354045344 is an abundant number, since it is smaller than the sum of its proper divisors (60113590880).

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

44354045344 is a wasteful number, since it uses less digits than its factorization.

44354045344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

It can be divided in two parts, 443540 and 45344, that added together give a palindrome (488884).

The spelling of 44354045344 in words is "forty-four billion, three hundred fifty-four million, forty-five thousand, three hundred forty-four".