13994696163840 has 960 divisors, whose sum is σ = 52595909967744. Its totient is φ = 3165047488512.

The previous prime is 13994696163827. The next prime is 13994696163883. The reversal of 13994696163840 is 4836169649931.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×13994696163840³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20671633582 + ... + 20671634258.

Almost surely, 2^{13994696163840} is an apocalyptic number.

13994696163840 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 13994696163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26297954983872).

13994696163840 is an abundant number, since it is smaller than the sum of its proper divisors (38601213803904).

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

13994696163840 is a wasteful number, since it uses less digits than its factorization.

13994696163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 69.

The spelling of 13994696163840 in words is "thirteen trillion, nine hundred ninety-four billion, six hundred ninety-six million, one hundred sixty-three thousand, eight hundred forty".