44464266246444 has 144 divisors (see below), whose sum is σ = 114265053100800. Its totient is φ = 13447359192960.

The previous prime is 44464266246431. The next prime is 44464266246461.

It is a happy number.

44464266246444 is nontrivially palindromic in base 10.

44464266246444 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1833792729 + ... + 1833816975.

It is an arithmetic number, because the mean of its divisors is an integer number (793507313200).

Almost surely, 2^{44464266246444} is an apocalyptic number.

44464266246444 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 44464266246444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57132526550400).

44464266246444 is an abundant number, since it is smaller than the sum of its proper divisors (69800786854356).

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

44464266246444 is a wasteful number, since it uses less digits than its factorization.

44464266246444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26724 (or 26711 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 60.

The spelling of 44464266246444 in words is "forty-four trillion, four hundred sixty-four billion, two hundred sixty-six million, two hundred forty-six thousand, four hundred forty-four".