13788924864 has 224 divisors, whose sum is σ = 43123981824. Its totient is φ = 3833425920.

The previous prime is 13788924857. The next prime is 13788924911. The reversal of 13788924864 is 46842988731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13788924798 and 13788924807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4748437 + ... + 4751339.

It is an arithmetic number, because the mean of its divisors is an integer number (192517776).

Almost surely, 2^13788924864 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 13788924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21561990912).

13788924864 is an abundant number, since it is smaller than the sum of its proper divisors (29335056960).

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

13788924864 is a wasteful number, since it uses less digits than its factorization.

13788924864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3105 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The spelling of 13788924864 in words is "thirteen billion, seven hundred eighty-eight million, nine hundred twenty-four thousand, eight hundred sixty-four".