13386815946 has 128 divisors (see below), whose sum is σ = 34973406720. Its totient is φ = 3715891200.

The previous prime is 13386815917. The next prime is 13386815999. The reversal of 13386815946 is 64951868331.

13386815946 is a `hidden beast` number, since 13 + 38 + 6 + 8 + 1 + 594 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13386815892 and 13386815901.

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 63 ways as a sum of consecutive naturals, for example, 3981306 + ... + 3984666.

It is an arithmetic number, because the mean of its divisors is an integer number (273229740).

Almost surely, 2^13386815946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13386815946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17486703360).

13386815946 is an abundant number, since it is smaller than the sum of its proper divisors (21586590774).

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

13386815946 is a wasteful number, since it uses less digits than its factorization.

13386815946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3671 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 13386815946 in words is "thirteen billion, three hundred eighty-six million, eight hundred fifteen thousand, nine hundred forty-six".