13784638464 has 99 divisors (see below), whose sum is σ = 39835416283. Its totient is φ = 4591122432.

The previous prime is 13784638433. The next prime is 13784638471. The reversal of 13784638464 is 46483648731.

The square root of 13784638464 is 117408.

It is a perfect power (a square), and thus also a powerful number.

13784638464 is a `hidden beast` number, since 137 + 8 + 46 + 3 + 8 + 464 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13784638464.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11270557 + ... + 11271779.

Almost surely, 2^13784638464 is an apocalyptic number.

13784638464 is the 117408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13784638464

13784638464 is an abundant number, since it is smaller than the sum of its proper divisors (26050777819).

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

13784638464 is an frugal number, since it uses more digits than its factorization.

13784638464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 1228 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 13784638464 in words is "thirteen billion, seven hundred eighty-four million, six hundred thirty-eight thousand, four hundred sixty-four".