1338823371600 has 1680 divisors, whose sum is σ = 5741389235904. Its totient is φ = 295612416000.

The previous prime is 1338823371533. The next prime is 1338823371701. The reversal of 1338823371600 is 61733288331.

1338823371600 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 8 + 2 + 3 + 37 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4044783435 + ... + 4044783765.

Almost surely, 2^{1338823371600} is an apocalyptic number.

1338823371600 is a gapful number since it is divisible by the number (10) 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 1338823371600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870694617952).

1338823371600 is an abundant number, since it is smaller than the sum of its proper divisors (4402565864304).

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

1338823371600 is a wasteful number, since it uses less digits than its factorization.

1338823371600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1338823371600 in words is "one trillion, three hundred thirty-eight billion, eight hundred twenty-three million, three hundred seventy-one thousand, six hundred".