13761984896 has 64 divisors (see below), whose sum is σ = 29961610560. Its totient is φ = 6244416000.

The previous prime is 13761984889. The next prime is 13761984911. The reversal of 13761984896 is 69848916731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 818171 + ... + 834821.

It is an arithmetic number, because the mean of its divisors is an integer number (468150165).

Almost surely, 2^13761984896 is an apocalyptic number.

13761984896 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 13761984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14980805280).

13761984896 is an abundant number, since it is smaller than the sum of its proper divisors (16199625664).

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

13761984896 is a wasteful number, since it uses less digits than its factorization.

13761984896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17263 (or 17251 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 62.

The spelling of 13761984896 in words is "thirteen billion, seven hundred sixty-one million, nine hundred eighty-four thousand, eight hundred ninety-six".