221746943968900 has 243 divisors, whose sum is σ = 563106364477839. Its totient is φ = 75574712949120.

The previous prime is 221746943968853. The next prime is 221746943968937. The reversal of 221746943968900 is 9869349647122.

It is a happy number.

The square root of 221746943968900 is 14891170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6669936394884 + 215077007574016 = 2582622^2 + 14665504^2 .

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 221746943968900.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 207433997566 + ... + 207433998634.

Almost surely, 2^{221746943968900} is an apocalyptic number.

221746943968900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

221746943968900 is the 14891170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221746943968900

221746943968900 is an abundant number, since it is smaller than the sum of its proper divisors (341359420508939).

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

221746943968900 is an equidigital number, since it uses as much as digits as its factorization.

221746943968900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 70.

The spelling of 221746943968900 in words is "two hundred twenty-one trillion, seven hundred forty-six billion, nine hundred forty-three million, nine hundred sixty-eight thousand, nine hundred".