221846380320 has 192 divisors, whose sum is σ = 736328880000. Its totient is φ = 55989559296.

The previous prime is 221846380279. The next prime is 221846380421. The reversal of 221846380320 is 23083648122.

It is a super-2 number, since 2×221846380320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9555286 + ... + 9578474.

It is an arithmetic number, because the mean of its divisors is an integer number (3835046250).

Almost surely, 2^221846380320 is an apocalyptic number.

221846380320 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 221846380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368164440000).

221846380320 is an abundant number, since it is smaller than the sum of its proper divisors (514482499680).

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

221846380320 is a wasteful number, since it uses less digits than its factorization.

221846380320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24275 (or 24267 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 221846380320 in words is "two hundred twenty-one billion, eight hundred forty-six million, three hundred eighty thousand, three hundred twenty".