13663739664 has 225 divisors, whose sum is σ = 42231049861. Its totient is φ = 4264220160.

The previous prime is 13663739659. The next prime is 13663739669. The reversal of 13663739664 is 46693736631.

The square root of 13663739664 is 116892.

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

13663739664 is a `hidden beast` number, since 136 + 63 + 7 + 396 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (13663739659) and next prime (13663739669).

It can be written as a sum of positive squares in only one way, i.e., 10637859600 + 3025880064 = 103140^2 + 55008^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 13663739664.

It is not an unprimeable number, because it can be changed into a prime (13663739669) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 71537809 + ... + 71537999.

Almost surely, 2^13663739664 is an apocalyptic number.

13663739664 is the 116892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13663739664

13663739664 is an abundant number, since it is smaller than the sum of its proper divisors (28567310197).

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

13663739664 is an equidigital number, since it uses as much as digits as its factorization.

13663739664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 213 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 54.

The spelling of 13663739664 in words is "thirteen billion, six hundred sixty-three million, seven hundred thirty-nine thousand, six hundred sixty-four".