13238647148544 has 208 divisors, whose sum is σ = 36515934074880. Its totient is φ = 4261329469440.

The previous prime is 13238647148501. The next prime is 13238647148567. The reversal of 13238647148544 is 44584174683231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177856167 + ... + 177930585.

It is an arithmetic number, because the mean of its divisors is an integer number (175557375360).

Almost surely, 2^{13238647148544} 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 13238647148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18257967037440).

13238647148544 is an abundant number, since it is smaller than the sum of its proper divisors (23277286926336).

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

13238647148544 is an equidigital number, since it uses as much as digits as its factorization.

13238647148544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74944 (or 74922 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 60.

The spelling of 13238647148544 in words is "thirteen trillion, two hundred thirty-eight billion, six hundred forty-seven million, one hundred forty-eight thousand, five hundred forty-four".