20450144016 has 135 divisors (see below), whose sum is σ = 60883475263. Its totient is φ = 6406579200.

The previous prime is 20450144003. The next prime is 20450144027. The reversal of 20450144016 is 61044105402.

The square root of 20450144016 is 143004.

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

20450144016 is a `hidden beast` number, since 204 + 5 + 0 + 1 + 440 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8504528400 + 11945615616 = 92220^2 + 109296^2 .

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, 29172466 + ... + 29173166.

Almost surely, 2^20450144016 is an apocalyptic number.

20450144016 is the 143004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20450144016

20450144016 is an abundant number, since it is smaller than the sum of its proper divisors (40433331247).

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

20450144016 is an equidigital number, since it uses as much as digits as its factorization.

20450144016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 20450144016 its reverse (61044105402), we get a palindrome (81494249418).

The spelling of 20450144016 in words is "twenty billion, four hundred fifty million, one hundred forty-four thousand, sixteen".