1338915225600 has 1428 divisors, whose sum is σ = 5329294431600. Its totient is φ = 332519178240.

The previous prime is 1338915225559. The next prime is 1338915225743. The reversal of 1338915225600 is 65225198331.

1338915225600 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 9 + 15 + 2 + 25 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 22693478371 + ... + 22693478429.

Almost surely, 2^{1338915225600} is an apocalyptic number.

1338915225600 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 1338915225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664647215800).

1338915225600 is an abundant number, since it is smaller than the sum of its proper divisors (3990379206000).

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

1338915225600 is an frugal number, since it uses more digits than its factorization.

1338915225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1338915225600 in words is "one trillion, three hundred thirty-eight billion, nine hundred fifteen million, two hundred twenty-five thousand, six hundred".