13891085508096 has 600 divisors, whose sum is σ = 44030004254280. Its totient is φ = 4348136153088.

The previous prime is 13891085508061. The next prime is 13891085508119. The reversal of 13891085508096 is 69080558019831.

13891085508096 is a `hidden beast` number, since 1 + 38 + 9 + 1 + 0 + 8 + 5 + 508 + 0 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12709135326 + ... + 12709136418.

Almost surely, 2^{13891085508096} is an apocalyptic number.

13891085508096 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 13891085508096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22015002127140).

13891085508096 is an abundant number, since it is smaller than the sum of its proper divisors (30138918746184).

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

13891085508096 is an equidigital number, since it uses as much as digits as its factorization.

13891085508096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 13891085508096 in words is "thirteen trillion, eight hundred ninety-one billion, eighty-five million, five hundred eight thousand, ninety-six".