12338454459144 has 128 divisors (see below), whose sum is σ = 33799911050880. Its totient is φ = 3722310451200.

The previous prime is 12338454459131. The next prime is 12338454459157. The reversal of 12338454459144 is 44195445483321.

It is an interprime number because it is at equal distance from previous prime (12338454459131) and next prime (12338454459157).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584168904 + ... + 584190024.

It is an arithmetic number, because the mean of its divisors is an integer number (264061805085).

Almost surely, 2^{12338454459144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12338454459144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16899955525440).

12338454459144 is an abundant number, since it is smaller than the sum of its proper divisors (21461456591736).

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

12338454459144 is a wasteful number, since it uses less digits than its factorization.

12338454459144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30871 (or 30867 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 57.

The spelling of 12338454459144 in words is "twelve trillion, three hundred thirty-eight billion, four hundred fifty-four million, four hundred fifty-nine thousand, one hundred forty-four".