221947543593216 has 729 divisors, whose sum is σ = 753567661670733. Its totient is φ = 62642706739200.

The previous prime is 221947543593203. The next prime is 221947543593233. The reversal of 221947543593216 is 612395345749122.

The square root of 221947543593216 is 14897904.

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

221947543593216 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 4 + 7 + 543 + 59 + 32 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 213244571586816 + 8702972006400 = 14602896^2 + 2950080^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 505575269925 + ... + 505575270363.

Almost surely, 2^{221947543593216} is an apocalyptic number.

221947543593216 is the 14897904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221947543593216

221947543593216 is an abundant number, since it is smaller than the sum of its proper divisors (531620118077517).

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

221947543593216 is an frugal number, since it uses more digits than its factorization.

221947543593216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 552 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 221947543593216 in words is "two hundred twenty-one trillion, nine hundred forty-seven billion, five hundred forty-three million, five hundred ninety-three thousand, two hundred sixteen".