219301445968900 has 27 divisors (see below), whose sum is σ = 475884459104341. Its totient is φ = 87720519152240.

The previous prime is 219301445968853. The next prime is 219301445968901. The reversal of 219301445968900 is 9869544103912.

The square root of 219301445968900 is 14808830.

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

It can be written as a sum of positive squares in only one way, i.e., 78948520548804 + 140352925420096 = 8885298^2 + 11847064^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (219301445968901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 147347859 + ... + 148828741.

Almost surely, 2^{219301445968900} is an apocalyptic number.

219301445968900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

219301445968900 is the 14808830-th square number.

It is an amenable number.

219301445968900 is an abundant number, since it is smaller than the sum of its proper divisors (256583013135441).

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

219301445968900 is an frugal number, since it uses more digits than its factorization.

219301445968900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961780 (or 1480890 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 61.

The spelling of 219301445968900 in words is "two hundred nineteen trillion, three hundred one billion, four hundred forty-five million, nine hundred sixty-eight thousand, nine hundred".