13662633006 has 96 divisors (see below), whose sum is σ = 33756922368. Its totient is φ = 3953209920.

The previous prime is 13662632969. The next prime is 13662633011. The reversal of 13662633006 is 60033626631.

It is a happy number.

13662633006 is a `hidden beast` number, since 1 + 366 + 263 + 30 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2944120 + ... + 2948756.

It is an arithmetic number, because the mean of its divisors is an integer number (351634608).

Almost surely, 2^13662633006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13662633006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16878461184).

13662633006 is an abundant number, since it is smaller than the sum of its proper divisors (20094289362).

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

13662633006 is a wasteful number, since it uses less digits than its factorization.

13662633006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 13662633006 in words is "thirteen billion, six hundred sixty-two million, six hundred thirty-three thousand, six".