13768803216 has 180 divisors, whose sum is σ = 45076544604. Its totient is φ = 3911846400.

The previous prime is 13768803199. The next prime is 13768803253. The reversal of 13768803216 is 61230886731.

It can be written as a sum of positive squares in 2 ways, for example, as 1493049600 + 12275753616 = 38640^2 + 110796^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1271746 + ... + 1282526.

Almost surely, 2^13768803216 is an apocalyptic number.

13768803216 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 13768803216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22538272302).

13768803216 is an abundant number, since it is smaller than the sum of its proper divisors (31307741388).

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

13768803216 is a wasteful number, since it uses less digits than its factorization.

13768803216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10990 (or 10974 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13768803216 in words is "thirteen billion, seven hundred sixty-eight million, eight hundred three thousand, two hundred sixteen".