1338102514812 has 864 divisors, whose sum is σ = 4346247628800. Its totient is φ = 317824819200.

The previous prime is 1338102514811. The next prime is 1338102514877. The reversal of 1338102514812 is 2184152018331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338102514811) 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 287 ways as a sum of consecutive naturals, for example, 2902608262 + ... + 2902608722.

It is an arithmetic number, because the mean of its divisors is an integer number (5030379200).

Almost surely, 2^{1338102514812} is an apocalyptic number.

1338102514812 is a gapful number since it is divisible by the number (12) 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 1338102514812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173123814400).

1338102514812 is an abundant number, since it is smaller than the sum of its proper divisors (3008145113988).

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

1338102514812 is a wasteful number, since it uses less digits than its factorization.

1338102514812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 1338102514812 in words is "one trillion, three hundred thirty-eight billion, one hundred two million, five hundred fourteen thousand, eight hundred twelve".