210220163472816 has 240 divisors, whose sum is σ = 681842387865600. Its totient is φ = 59218955407872.

The previous prime is 210220163472791. The next prime is 210220163472889. The reversal of 210220163472816 is 618274361022012.

210220163472816 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 2 + 0 + 1 + 634 + 7 + 2 + 8 + 1 + 6 = 666.

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, 54597385 + ... + 58320791.

It is an arithmetic number, because the mean of its divisors is an integer number (2841009949440).

Almost surely, 2^{210220163472816} 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 210220163472816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340921193932800).

210220163472816 is an abundant number, since it is smaller than the sum of its proper divisors (471622224392784).

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

210220163472816 is a wasteful number, since it uses less digits than its factorization.

210220163472816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724216 (or 3724207 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 210220163472816 in words is "two hundred ten trillion, two hundred twenty billion, one hundred sixty-three million, four hundred seventy-two thousand, eight hundred sixteen".