44146064144 has 160 divisors (see below), whose sum is σ = 106761666816. Its totient is φ = 17218713600.

The previous prime is 44146064141. The next prime is 44146064201.

44146064144 is nontrivially palindromic in base 10.

44146064144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44146064098 and 44146064107.

It is not an unprimeable number, because it can be changed into a prime (44146064141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46616279 + ... + 46617225.

Almost surely, 2^44146064144 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 44146064144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53380833408).

44146064144 is an abundant number, since it is smaller than the sum of its proper divisors (62615602672).

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

44146064144 is a wasteful number, since it uses less digits than its factorization.

44146064144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 44146064144 in words is "forty-four billion, one hundred forty-six million, sixty-four thousand, one hundred forty-four".