20314800900 has 81 divisors (see below), whose sum is σ = 63689020213. Its totient is φ = 5416140000.

The previous prime is 20314800841. The next prime is 20314800917. The reversal of 20314800900 is 900841302.

The square root of 20314800900 is 142530.

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

It can be written as a sum of positive squares in only one way, i.e., 7313328324 + 13001472576 = 85518^2 + 114024^2 .

It is a super-2 number, since 2×20314800900² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

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, 4273525 + ... + 4278275.

Almost surely, 2^20314800900 is an apocalyptic number.

20314800900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20314800900 is the 142530-th square number.

It is an amenable number.

20314800900 is an abundant number, since it is smaller than the sum of its proper divisors (43374219313).

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

20314800900 is an equidigital number, since it uses as much as digits as its factorization.

20314800900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9522 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20314800900 in words is "twenty billion, three hundred fourteen million, eight hundred thousand, nine hundred".