13523829264 has 135 divisors (see below), whose sum is σ = 41648727757. Its totient is φ = 4093478400.

The previous prime is 13523829247. The next prime is 13523829281. The reversal of 13523829264 is 46292832531.

The square root of 13523829264 is 116292.

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

13523829264 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 382 + 9 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (13523829247) and next prime (13523829281).

It can be written as a sum of positive squares in only one way, i.e., 2372469264 + 11151360000 = 48708^2 + 105600^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 15350104 + ... + 15350984.

Almost surely, 2^13523829264 is an apocalyptic number.

13523829264 is the 116292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13523829264

13523829264 is an abundant number, since it is smaller than the sum of its proper divisors (28124898493).

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

13523829264 is an equidigital number, since it uses as much as digits as its factorization.

13523829264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 897 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 13523829264 in words is "thirteen billion, five hundred twenty-three million, eight hundred twenty-nine thousand, two hundred sixty-four".