20305110016 has 99 divisors (see below), whose sum is σ = 41839756803. Its totient is φ = 9849323520.

The previous prime is 20305109983. The next prime is 20305110053. The reversal of 20305110016 is 61001150302.

The square root of 20305110016 is 142496.

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 5299840000 + 15005270016 = 72800^2 + 122496^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20305109975 and 20305110002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 278152156 + ... + 278152228.

Almost surely, 2^20305110016 is an apocalyptic number.

20305110016 is the 142496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20305110016

20305110016 is an abundant number, since it is smaller than the sum of its proper divisors (21534646787).

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

20305110016 is an frugal number, since it uses more digits than its factorization.

20305110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 20305110016 its reverse (61001150302), we get a palindrome (81306260318).

It can be divided in two parts, 20305 and 110016, that added together give a 4-th power (130321 = 19⁴).

The spelling of 20305110016 in words is "twenty billion, three hundred five million, one hundred ten thousand, sixteen".