44164244246144 has 128 divisors (see below), whose sum is σ = 96147570888000. Its totient is φ = 20040042373120.

The previous prime is 44164244246119. The next prime is 44164244246147.

44164244246144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 44164244246092 and 44164244246101.

It is not an unprimeable number, because it can be changed into a prime (44164244246147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2657446667 + ... + 2657463285.

Almost surely, 2^{44164244246144} is an apocalyptic number.

44164244246144 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 44164244246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48073785444000).

44164244246144 is an abundant number, since it is smaller than the sum of its proper divisors (51983326641856).

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

44164244246144 is a wasteful number, since it uses less digits than its factorization.

44164244246144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19786 (or 19774 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 50.

The spelling of 44164244246144 in words is "forty-four trillion, one hundred sixty-four billion, two hundred forty-four million, two hundred forty-six thousand, one hundred forty-four".