166112201253024 has 336 divisors, whose sum is σ = 528223875517800. Its totient is φ = 51093954551808.

The previous prime is 166112201253017. The next prime is 166112201253041. The reversal of 166112201253024 is 420352102211661.

166112201253024 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 1 + 220 + 125 + 302 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12180239600400 + 153931961652624 = 3490020^2 + 12406932^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 166112201253024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 900298572 + ... + 900483060.

Almost surely, 2^{166112201253024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166112201253024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264111937758900).

166112201253024 is an abundant number, since it is smaller than the sum of its proper divisors (362111674264776).

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

166112201253024 is a wasteful number, since it uses less digits than its factorization.

166112201253024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187499 (or 187476 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 166112201253024 its reverse (420352102211661), we get a palindrome (586464303464685).

The spelling of 166112201253024 in words is "one hundred sixty-six trillion, one hundred twelve billion, two hundred one million, two hundred fifty-three thousand, twenty-four".