44445811854444 has 192 divisors, whose sum is σ = 139248462646272. Its totient is φ = 10655906918400.

The previous prime is 44445811854439. The next prime is 44445811854461.

44445811854444 is nontrivially palindromic in base 10.

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, 374438784 + ... + 374557464.

It is an arithmetic number, because the mean of its divisors is an integer number (725252409616).

Almost surely, 2^{44445811854444} is an apocalyptic number.

44445811854444 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 44445811854444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69624231323136).

44445811854444 is an abundant number, since it is smaller than the sum of its proper divisors (94802650791828).

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

44445811854444 is a wasteful number, since it uses less digits than its factorization.

44445811854444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149896 (or 149894 counting only the distinct ones).

The product of its digits is 104857600, while the sum is 60.

The spelling of 44445811854444 in words is "forty-four trillion, four hundred forty-five billion, eight hundred eleven million, eight hundred fifty-four thousand, four hundred forty-four".