221466562986200 has 576 divisors, whose sum is σ = 621267257184000. Its totient is φ = 71912606008320.

The previous prime is 221466562986143. The next prime is 221466562986211. The reversal of 221466562986200 is 2689265664122.

It is a super-2 number, since 2×221466562986200² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221466562986200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40868527091 + ... + 40868532509.

Almost surely, 2^{221466562986200} is an apocalyptic number.

221466562986200 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 221466562986200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310633628592000).

221466562986200 is an abundant number, since it is smaller than the sum of its proper divisors (399800694197800).

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

221466562986200 is a wasteful number, since it uses less digits than its factorization.

221466562986200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6024 (or 5992 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 59.

The spelling of 221466562986200 in words is "two hundred twenty-one trillion, four hundred sixty-six billion, five hundred sixty-two million, nine hundred eighty-six thousand, two hundred".