168582225312 has 288 divisors, whose sum is σ = 496249685568. Its totient is φ = 54261362688.

The previous prime is 168582225293. The next prime is 168582225349. The reversal of 168582225312 is 213522285861.

168582225312 is a `hidden beast` number, since 1 + 6 + 8 + 582 + 2 + 2 + 53 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×168582225312² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380546563 + ... + 380547005.

It is an arithmetic number, because the mean of its divisors is an integer number (1723089186).

Almost surely, 2^168582225312 is an apocalyptic number.

168582225312 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 168582225312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248124842784).

168582225312 is an abundant number, since it is smaller than the sum of its proper divisors (327667460256).

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

168582225312 is a wasteful number, since it uses less digits than its factorization.

168582225312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 841 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 168582225312 in words is "one hundred sixty-eight billion, five hundred eighty-two million, two hundred twenty-five thousand, three hundred twelve".