13662781664 has 48 divisors (see below), whose sum is σ = 30784975200. Its totient is φ = 5847151104.

The previous prime is 13662781651. The next prime is 13662781669. The reversal of 13662781664 is 46618726631.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13662781669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115802 + ... + 201830.

It is an arithmetic number, because the mean of its divisors is an integer number (641353650).

Almost surely, 2^13662781664 is an apocalyptic number.

13662781664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13662781664 is an abundant number, since it is smaller than the sum of its proper divisors (17122193536).

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

13662781664 is an equidigital number, since it uses as much as digits as its factorization.

13662781664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86755 (or 86747 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 50.

The spelling of 13662781664 in words is "thirteen billion, six hundred sixty-two million, seven hundred eighty-one thousand, six hundred sixty-four".