13605822736 has 75 divisors (see below), whose sum is σ = 29118049365. Its totient is φ = 6158803200.

The previous prime is 13605822719. The next prime is 13605822739. The reversal of 13605822736 is 63722850631.

The square root of 13605822736 is 116644.

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

It can be written as a sum of positive squares in only one way, i.e., 10232536336 + 3373286400 = 101156^2 + 58080^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13605822692 and 13605822701.

It is not an unprimeable number, because it can be changed into a prime (13605822739) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 56455576 + ... + 56455816.

Almost surely, 2^13605822736 is an apocalyptic number.

13605822736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13605822736 is the 116644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13605822736

13605822736 is an abundant number, since it is smaller than the sum of its proper divisors (15512226629).

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

13605822736 is an frugal number, since it uses more digits than its factorization.

13605822736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 13605822736 in words is "thirteen billion, six hundred five million, eight hundred twenty-two thousand, seven hundred thirty-six".