221298739776 has 189 divisors, whose sum is σ = 674405170491. Its totient is φ = 69366841344.

The previous prime is 221298739769. The next prime is 221298739787. The reversal of 221298739776 is 677937892122.

The square root of 221298739776 is 470424.

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 71622605376 + 149676134400 = 267624^2 + 386880^2 .

It is a super-3 number, since 3×221298739776³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 191932416 + ... + 191933568.

Almost surely, 2^221298739776 is an apocalyptic number.

221298739776 is the 470424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221298739776

221298739776 is an abundant number, since it is smaller than the sum of its proper divisors (453106430715).

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

221298739776 is an equidigital number, since it uses as much as digits as its factorization.

221298739776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 1175 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 221298739776 in words is "two hundred twenty-one billion, two hundred ninety-eight million, seven hundred thirty-nine thousand, seven hundred seventy-six".