44162355326144 has 112 divisors (see below), whose sum is σ = 95765231822976. Its totient is φ = 20039426457600.

The previous prime is 44162355326101. The next prime is 44162355326147.

44162355326144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44162355326092 and 44162355326101.

It is not an unprimeable number, because it can be changed into a prime (44162355326147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2273236559 + ... + 2273255985.

Almost surely, 2^{44162355326144} is an apocalyptic number.

44162355326144 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 44162355326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47882615911488).

44162355326144 is an abundant number, since it is smaller than the sum of its proper divisors (51602876496832).

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

44162355326144 is a wasteful number, since it uses less digits than its factorization.

44162355326144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24814 (or 24804 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 50.

The spelling of 44162355326144 in words is "forty-four trillion, one hundred sixty-two billion, three hundred fifty-five million, three hundred twenty-six thousand, one hundred forty-four".