663301166002200 has 864 divisors, whose sum is σ = 2518981779066480. Its totient is φ = 156186683136000.

The previous prime is 663301166002187. The next prime is 663301166002231. The reversal of 663301166002200 is 2200661103366.

663301166002200 is a `hidden beast` number, since 6 + 6 + 3 + 30 + 1 + 16 + 600 + 2 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×663301166002200² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4730328090 + ... + 4730468310.

Almost surely, 2^{663301166002200} is an apocalyptic number.

663301166002200 is a gapful number since it is divisible by the number (60) 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 663301166002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259490889533240).

663301166002200 is an abundant number, since it is smaller than the sum of its proper divisors (1855680613064280).

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

663301166002200 is a wasteful number, since it uses less digits than its factorization.

663301166002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140889 (or 140866 counting only the distinct ones).

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

The spelling of 663301166002200 in words is "six hundred sixty-three trillion, three hundred one billion, one hundred sixty-six million, two thousand, two hundred".