220738349584 has 45 divisors (see below), whose sum is σ = 433889109063. Its totient is φ = 108789613056.

The previous prime is 220738349561. The next prime is 220738349591. The reversal of 220738349584 is 485943837022.

The square root of 220738349584 is 469828.

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 92379523600 + 128358825984 = 303940^2 + 358272^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 137188972 + ... + 137190580.

Almost surely, 2^220738349584 is an apocalyptic number.

220738349584 is the 469828-th square number.

It is an amenable number.

220738349584 is a deficient number, since it is larger than the sum of its proper divisors (213150759479).

220738349584 is an frugal number, since it uses more digits than its factorization.

220738349584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 220738349584 in words is "two hundred twenty billion, seven hundred thirty-eight million, three hundred forty-nine thousand, five hundred eighty-four".