13605362472 has 32 divisors (see below), whose sum is σ = 36629822880. Its totient is φ = 4186265280.

The previous prime is 13605362467. The next prime is 13605362473. The reversal of 13605362472 is 27426350631.

13605362472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 13605362472.

It is not an unprimeable number, because it can be changed into a prime (13605362473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21803154 + ... + 21803777.

It is an arithmetic number, because the mean of its divisors is an integer number (1144681965).

Almost surely, 2^13605362472 is an apocalyptic number.

13605362472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13605362472 is an abundant number, since it is smaller than the sum of its proper divisors (23024460408).

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

13605362472 is a wasteful number, since it uses less digits than its factorization.

13605362472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43606953 (or 43606949 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 13605362472 in words is "thirteen billion, six hundred five million, three hundred sixty-two thousand, four hundred seventy-two".