13362711642 has 128 divisors (see below), whose sum is σ = 34629120000. Its totient is φ = 3740510016.

The previous prime is 13362711623. The next prime is 13362711673. The reversal of 13362711642 is 24611726331.

13362711642 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 2 + 7 + 1 + 1 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13362711597 and 13362711606.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8005584 + ... + 8007252.

It is an arithmetic number, because the mean of its divisors is an integer number (270540000).

Almost surely, 2^13362711642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13362711642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17314560000).

13362711642 is an abundant number, since it is smaller than the sum of its proper divisors (21266408358).

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

13362711642 is a wasteful number, since it uses less digits than its factorization.

13362711642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2099 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 13362711642 in words is "thirteen billion, three hundred sixty-two million, seven hundred eleven thousand, six hundred forty-two".