221242292496 has 135 divisors (see below), whose sum is σ = 653791160919. Its totient is φ = 69832120896.

The previous prime is 221242292473. The next prime is 221242292543. The reversal of 221242292496 is 694292242122.

The square root of 221242292496 is 470364.

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

221242292496 is a `hidden beast` number, since 2 + 212 + 422 + 9 + 2 + 4 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 107241961 + ... + 107244023.

Almost surely, 2^221242292496 is an apocalyptic number.

221242292496 is the 470364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221242292496

221242292496 is an abundant number, since it is smaller than the sum of its proper divisors (432548868423).

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

221242292496 is an equidigital number, since it uses as much as digits as its factorization.

221242292496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 2087 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 221242292496 in words is "two hundred twenty-one billion, two hundred forty-two million, two hundred ninety-two thousand, four hundred ninety-six".