220263153664 has 68 divisors (see below), whose sum is σ = 441180267444. Its totient is φ = 109967310848.

The previous prime is 220263153653. The next prime is 220263153679. The reversal of 220263153664 is 466351362022.

It can be written as a sum of positive squares in 2 ways, for example, as 156031320064 + 64231833600 = 395008^2 + 253440^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52230084 + ... + 52234300.

Almost surely, 2^220263153664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220263153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220590133722).

220263153664 is an abundant number, since it is smaller than the sum of its proper divisors (220917113780).

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

220263153664 is an frugal number, since it uses more digits than its factorization.

220263153664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 220263153664 in words is "two hundred twenty billion, two hundred sixty-three million, one hundred fifty-three thousand, six hundred sixty-four".