44164446144 has 448 divisors, whose sum is σ = 150423920640. Its totient is φ = 11121868800.

The previous prime is 44164446121. The next prime is 44164446211.

44164446144 is nontrivially palindromic in base 10.

44164446144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 = 44164446096 and 44164446105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51175057 + ... + 51175919.

It is an arithmetic number, because the mean of its divisors is an integer number (335767680).

Almost surely, 2^44164446144 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 44164446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75211960320).

44164446144 is an abundant number, since it is smaller than the sum of its proper divisors (106259474496).

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

44164446144 is a wasteful number, since it uses less digits than its factorization.

44164446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1018 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 44164446144 in words is "forty-four billion, one hundred sixty-four million, four hundred forty-six thousand, one hundred forty-four".