13438999433736 has 320 divisors, whose sum is σ = 38806819571520. Its totient is φ = 4342667696640.

The previous prime is 13438999433723. The next prime is 13438999433753. The reversal of 13438999433736 is 63733499983431.

13438999433736 is a `hidden beast` number, since 1 + 3 + 4 + 38 + 9 + 99 + 433 + 73 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2839422826 + ... + 2839427558.

It is an arithmetic number, because the mean of its divisors is an integer number (121271311161).

Almost surely, 2^{13438999433736} 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 13438999433736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19403409785760).

13438999433736 is an abundant number, since it is smaller than the sum of its proper divisors (25367820137784).

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

13438999433736 is a wasteful number, since it uses less digits than its factorization.

13438999433736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538 (or 5525 counting only the distinct ones).

The product of its digits is 952342272, while the sum is 72.

The spelling of 13438999433736 in words is "thirteen trillion, four hundred thirty-eight billion, nine hundred ninety-nine million, four hundred thirty-three thousand, seven hundred thirty-six".