221206701308160 has 576 divisors, whose sum is σ = 769132409713920. Its totient is φ = 53962903388160.

The previous prime is 221206701308149. The next prime is 221206701308167. The reversal of 221206701308160 is 61803107602122.

It is not an unprimeable number, because it can be changed into a prime (221206701308167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719819499 + ... + 720126741.

It is an arithmetic number, because the mean of its divisors is an integer number (1335299322420).

Almost surely, 2^{221206701308160} is an apocalyptic number.

221206701308160 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 221206701308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384566204856960).

221206701308160 is an abundant number, since it is smaller than the sum of its proper divisors (547925708405760).

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

221206701308160 is a wasteful number, since it uses less digits than its factorization.

221206701308160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307594 (or 307580 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 221206701308160 in words is "two hundred twenty-one trillion, two hundred six billion, seven hundred one million, three hundred eight thousand, one hundred sixty".