13635699984 has 135 divisors (see below), whose sum is σ = 39369969093. Its totient is φ = 4405574016.

The previous prime is 13635699977. The next prime is 13635699989. The reversal of 13635699984 is 48999653631.

The square root of 13635699984 is 116772.

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

13635699984 is a `hidden beast` number, since 1 + 3 + 63 + 569 + 9 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12201411600 + 1434288384 = 110460^2 + 37872^2 .

It is not an unprimeable number, because it can be changed into a prime (13635699989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51846637 + ... + 51846899.

Almost surely, 2^13635699984 is an apocalyptic number.

13635699984 is the 116772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13635699984

13635699984 is an abundant number, since it is smaller than the sum of its proper divisors (25734269109).

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

13635699984 is an equidigital number, since it uses as much as digits as its factorization.

13635699984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 305 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 13635699984 in words is "thirteen billion, six hundred thirty-five million, six hundred ninety-nine thousand, nine hundred eighty-four".