13716197457138 has 288 divisors, whose sum is σ = 33635542187520. Its totient is φ = 4035109478400.

The previous prime is 13716197457101. The next prime is 13716197457203. The reversal of 13716197457138 is 83175479161731.

It is a happy number.

13716197457138 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 61 + 97 + 457 + 1 + 38 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5289700770 + ... + 5289703362.

It is an arithmetic number, because the mean of its divisors is an integer number (116790077040).

Almost surely, 2^{13716197457138} is an apocalyptic number.

13716197457138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13716197457138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16817771093760).

13716197457138 is an abundant number, since it is smaller than the sum of its proper divisors (19919344730382).

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

13716197457138 is a wasteful number, since it uses less digits than its factorization.

13716197457138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3192 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 63.

The spelling of 13716197457138 in words is "thirteen trillion, seven hundred sixteen billion, one hundred ninety-seven million, four hundred fifty-seven thousand, one hundred thirty-eight".