220368354343200 has 1440 divisors, whose sum is σ = 926084406804480. Its totient is φ = 49952787609600.

The previous prime is 220368354343183. The next prime is 220368354343279. The reversal of 220368354343200 is 2343453863022.

220368354343200 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 6 + 8 + 3 + 5 + 434 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27412404781 + ... + 27412412819.

It is an arithmetic number, because the mean of its divisors is an integer number (643114171392).

Almost surely, 2^{220368354343200} is an apocalyptic number.

220368354343200 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 220368354343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463042203402240).

220368354343200 is an abundant number, since it is smaller than the sum of its proper divisors (705716052461280).

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

220368354343200 is a wasteful number, since it uses less digits than its factorization.

220368354343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 8550 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 220368354343200 in words is "two hundred twenty trillion, three hundred sixty-eight billion, three hundred fifty-four million, three hundred forty-three thousand, two hundred".