166846535856 has 1200 divisors, whose sum is σ = 695402991360. Its totient is φ = 37858544640.

The previous prime is 166846535831. The next prime is 166846535857. The reversal of 166846535856 is 658535648661.

166846535856 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 46 + 5 + 3 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 166846535793 and 166846535802.

It is not an unprimeable number, because it can be changed into a prime (166846535857) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 172539885 + ... + 172540851.

Almost surely, 2^166846535856 is an apocalyptic number.

166846535856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166846535856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347701495680).

166846535856 is an abundant number, since it is smaller than the sum of its proper divisors (528556455504).

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

166846535856 is a wasteful number, since it uses less digits than its factorization.

166846535856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1022 counting only the distinct ones).

The product of its digits is 124416000, while the sum is 63.

The spelling of 166846535856 in words is "one hundred sixty-six billion, eight hundred forty-six million, five hundred thirty-five thousand, eight hundred fifty-six".