44162226144 has 72 divisors (see below), whose sum is σ = 125643117600. Its totient is φ = 14714085888.

The previous prime is 44162226139. The next prime is 44162226161.

44162226144 is a `hidden beast` number, since 4 + 4 + 1 + 622 + 26 + 1 + 4 + 4 = 666.

44162226144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 44162226099 and 44162226108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 625132 + ... + 692180.

It is an arithmetic number, because the mean of its divisors is an integer number (1745043300).

Almost surely, 2^44162226144 is an apocalyptic number.

It is an amenable number.

44162226144 is an abundant number, since it is smaller than the sum of its proper divisors (81480891456).

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

44162226144 is a wasteful number, since it uses less digits than its factorization.

44162226144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69352 (or 69341 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 44162226144 in words is "forty-four billion, one hundred sixty-two million, two hundred twenty-six thousand, one hundred forty-four".