20446566400160 has 24 divisors (see below), whose sum is σ = 48305013120756. Its totient is φ = 8178626560000.

The previous prime is 20446566400157. The next prime is 20446566400177. The reversal of 20446566400160 is 6100466564402.

It can be written as a sum of positive squares in 2 ways, for example, as 17046097630864 + 3400468769296 = 4128692^2 + 1844036^2 .

It is a super-2 number, since 2×20446566400160² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63895519841 + ... + 63895520160.

Almost surely, 2^{20446566400160} is an apocalyptic number.

20446566400160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20446566400160 is an abundant number, since it is smaller than the sum of its proper divisors (27858446720596).

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

20446566400160 is a wasteful number, since it uses less digits than its factorization.

20446566400160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127791040016 (or 127791040008 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 20446566400160 in words is "twenty trillion, four hundred forty-six billion, five hundred sixty-six million, four hundred thousand, one hundred sixty".