166188946752 has 140 divisors (see below), whose sum is σ = 493332333120. Its totient is φ = 55318028544.

The previous prime is 166188946751. The next prime is 166188946753. The reversal of 166188946752 is 257649881661.

166188946752 is a `hidden beast` number, since 1 + 6 + 618 + 8 + 9 + 4 + 6 + 7 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (166188946751) and next prime (166188946753).

It is a self number, because there is not a number n which added to its sum of digits gives 166188946752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166188946751) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3705003 + ... + 3749589.

Almost surely, 2^166188946752 is an apocalyptic number.

166188946752 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 166188946752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246666166560).

166188946752 is an abundant number, since it is smaller than the sum of its proper divisors (327143386368).

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

166188946752 is an equidigital number, since it uses as much as digits as its factorization.

166188946752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45330 (or 45311 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 166188946752 in words is "one hundred sixty-six billion, one hundred eighty-eight million, nine hundred forty-six thousand, seven hundred fifty-two".