201296223360 has 768 divisors, whose sum is σ = 762187345920. Its totient is φ = 50687078400.

The previous prime is 201296223347. The next prime is 201296223367. The reversal of 201296223360 is 63322692102.

It is a happy number.

201296223360 is a `hidden beast` number, since 2 + 0 + 1 + 29 + 622 + 3 + 3 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (201296223367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207307675 + ... + 207308645.

It is an arithmetic number, because the mean of its divisors is an integer number (992431440).

Almost surely, 2^201296223360 is an apocalyptic number.

201296223360 is a gapful number since it is divisible by the number (20) 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 201296223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381093672960).

201296223360 is an abundant number, since it is smaller than the sum of its proper divisors (560891122560).

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

201296223360 is an equidigital number, since it uses as much as digits as its factorization.

201296223360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 201296223360 in words is "two hundred one billion, two hundred ninety-six million, two hundred twenty-three thousand, three hundred sixty".