813687026166 has 192 divisors, whose sum is σ = 2100298776576. Its totient is φ = 222776568000.

The previous prime is 813687026161. The next prime is 813687026209. The reversal of 813687026166 is 661620786318.

813687026166 is a `hidden beast` number, since 8 + 13 + 6 + 8 + 7 + 0 + 2 + 616 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813687026161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318966591 + ... + 318969141.

It is an arithmetic number, because the mean of its divisors is an integer number (10939056128).

Almost surely, 2^813687026166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813687026166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050149388288).

813687026166 is an abundant number, since it is smaller than the sum of its proper divisors (1286611750410).

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

813687026166 is a wasteful number, since it uses less digits than its factorization.

813687026166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 813687026166 in words is "eight hundred thirteen billion, six hundred eighty-seven million, twenty-six thousand, one hundred sixty-six".