1338161037504 has 112 divisors (see below), whose sum is σ = 3625320948480. Its totient is φ = 435387939840.

The previous prime is 1338161037503. The next prime is 1338161037581. The reversal of 1338161037504 is 4057301618331.

It is not an unprimeable number, because it can be changed into a prime (1338161037503) 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, 12421182 + ... + 12528450.

It is an arithmetic number, because the mean of its divisors is an integer number (32368937040).

Almost surely, 2^{1338161037504} 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 1338161037504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812660474240).

1338161037504 is an abundant number, since it is smaller than the sum of its proper divisors (2287159910976).

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

1338161037504 is a wasteful number, since it uses less digits than its factorization.

1338161037504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108838 (or 108828 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 1338161037504 in words is "one trillion, three hundred thirty-eight billion, one hundred sixty-one million, thirty-seven thousand, five hundred four".