12444001013444 has 144 divisors (see below), whose sum is σ = 30039326331840. Its totient is φ = 4433538090240.

The previous prime is 12444001013401. The next prime is 12444001013453. The reversal of 12444001013444 is 44431010044421.

It is a super-2 number, since 2×12444001013444² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12444001013444.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 924302 + ... + 5073690.

It is an arithmetic number, because the mean of its divisors is an integer number (208606432860).

Almost surely, 2^{12444001013444} is an apocalyptic number.

12444001013444 is a gapful number since it is divisible by the number (14) 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 12444001013444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15019663165920).

12444001013444 is an abundant number, since it is smaller than the sum of its proper divisors (17595325318396).

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

12444001013444 is a wasteful number, since it uses less digits than its factorization.

12444001013444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4149538 (or 4149529 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 12444001013444 its reverse (44431010044421), we get a palindrome (56875011057865).

The spelling of 12444001013444 in words is "twelve trillion, four hundred forty-four billion, one million, thirteen thousand, four hundred forty-four".