1338185498496 has 768 divisors, whose sum is σ = 4617178675200. Its totient is φ = 333443911680.

The previous prime is 1338185498479. The next prime is 1338185498539. The reversal of 1338185498496 is 6948945818331.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

Its product of digits (179159040) is a multiple of the sum of its prime divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 1338185498496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12506406475 + ... + 12506406581.

It is an arithmetic number, because the mean of its divisors is an integer number (6011951400).

Almost surely, 2^{1338185498496} is an apocalyptic number.

1338185498496 is a gapful number since it is divisible by the number (16) 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 1338185498496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308589337600).

1338185498496 is an abundant number, since it is smaller than the sum of its proper divisors (3278993176704).

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

1338185498496 is a wasteful number, since it uses less digits than its factorization.

1338185498496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 256 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 69.

The spelling of 1338185498496 in words is "one trillion, three hundred thirty-eight billion, one hundred eighty-five million, four hundred ninety-eight thousand, four hundred ninety-six".