220437762064 has 45 divisors (see below), whose sum is σ = 462530304183. Its totient is φ = 101729237376.

The previous prime is 220437762059. The next prime is 220437762067. The reversal of 220437762064 is 460267734022.

The square root of 220437762064 is 469508.

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 26302352400 + 194135409664 = 162180^2 + 440608^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220437762064.

It is not an unprimeable number, because it can be changed into a prime (220437762067) 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, 24409902 + ... + 24418930.

Almost surely, 2^220437762064 is an apocalyptic number.

220437762064 is the 469508-th square number.

It is an amenable number.

220437762064 is an abundant number, since it is smaller than the sum of its proper divisors (242092542119).

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

220437762064 is an frugal number, since it uses more digits than its factorization.

220437762064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18092 (or 9044 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 43.

The spelling of 220437762064 in words is "two hundred twenty billion, four hundred thirty-seven million, seven hundred sixty-two thousand, sixty-four".