166286794752 has 560 divisors, whose sum is σ = 550504580472. Its totient is φ = 49686773760.

The previous prime is 166286794747. The next prime is 166286794759. The reversal of 166286794752 is 257497682661.

166286794752 is a `hidden beast` number, since 16 + 6 + 2 + 86 + 79 + 475 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 132100263936 + 34186530816 = 363456^2 + 184896^2 .

Its product of digits (60963840) is a multiple of the sum of its prime divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 166286794752.

It is not an unprimeable number, because it can be changed into a prime (166286794759) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 319168252 + ... + 319168772.

Almost surely, 2^166286794752 is an apocalyptic number.

166286794752 is a gapful number since it is divisible by the number (12) 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 166286794752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275252290236).

166286794752 is an abundant number, since it is smaller than the sum of its proper divisors (384217785720).

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

166286794752 is an equidigital number, since it uses as much as digits as its factorization.

166286794752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 576 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 166286794752 in words is "one hundred sixty-six billion, two hundred eighty-six million, seven hundred ninety-four thousand, seven hundred fifty-two".