221246206160000 has 320 divisors, whose sum is σ = 641337973404480. Its totient is φ = 74424589824000.

The previous prime is 221246206159949. The next prime is 221246206160047. The reversal of 221246206160000 is 61602642122.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25952807 + ... + 33407193.

It is an arithmetic number, because the mean of its divisors is an integer number (2004181166889).

Almost surely, 2^{221246206160000} is an apocalyptic number.

221246206160000 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 221246206160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320668986702240).

221246206160000 is an abundant number, since it is smaller than the sum of its proper divisors (420091767244480).

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

221246206160000 is an frugal number, since it uses more digits than its factorization.

221246206160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7454481 (or 7454454 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 221246206160000 in words is "two hundred twenty-one trillion, two hundred forty-six billion, two hundred six million, one hundred sixty thousand".