13167166385538 has 160 divisors (see below), whose sum is σ = 32687881205760. Its totient is φ = 3928175727840.

The previous prime is 13167166385479. The next prime is 13167166385561. The reversal of 13167166385538 is 83558366176131.

It is a happy number.

13167166385538 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 7 + 1 + 66 + 38 + 5 + 538 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48715195 + ... + 48984737.

It is an arithmetic number, because the mean of its divisors is an integer number (204299257536).

Almost surely, 2^{13167166385538} is an apocalyptic number.

13167166385538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13167166385538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343940602880).

13167166385538 is an abundant number, since it is smaller than the sum of its proper divisors (19520714820222).

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

13167166385538 is a wasteful number, since it uses less digits than its factorization.

13167166385538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269994 (or 269985 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 13167166385538 in words is "thirteen trillion, one hundred sixty-seven billion, one hundred sixty-six million, three hundred eighty-five thousand, five hundred thirty-eight".