13166185536 has 189 divisors, whose sum is σ = 43964249511. Its totient is φ = 3756259584.

The previous prime is 13166185531. The next prime is 13166185567. The reversal of 13166185536 is 63558166131.

The square root of 13166185536 is 114744.

It is a perfect power (a square), and thus also a powerful number.

13166185536 is a `hidden beast` number, since 1 + 31 + 6 + 6 + 1 + 85 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13166185491 and 13166185500.

It is not an unprimeable number, because it can be changed into a prime (13166185531) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19276651 + ... + 19277333.

Almost surely, 2^13166185536 is an apocalyptic number.

13166185536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13166185536 is the 114744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13166185536

13166185536 is an abundant number, since it is smaller than the sum of its proper divisors (30798063975).

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

13166185536 is an frugal number, since it uses more digits than its factorization.

13166185536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 695 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 13166185536 in words is "thirteen billion, one hundred sixty-six million, one hundred eighty-five thousand, five hundred thirty-six".