13582364466 has 48 divisors (see below), whose sum is σ = 30494120832. Its totient is φ = 4028286240.

The previous prime is 13582364429. The next prime is 13582364473. The reversal of 13582364466 is 66446328531.

13582364466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 164905 + ... + 233148.

It is an arithmetic number, because the mean of its divisors is an integer number (635294184).

Almost surely, 2^13582364466 is an apocalyptic number.

13582364466 is an abundant number, since it is smaller than the sum of its proper divisors (16911756366).

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

13582364466 is a wasteful number, since it uses less digits than its factorization.

13582364466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398127 (or 398116 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 13582364466 in words is "thirteen billion, five hundred eighty-two million, three hundred sixty-four thousand, four hundred sixty-six".