320163588900 has 135 divisors (see below), whose sum is σ = 1038008974849. Its totient is φ = 85363377120.

The previous prime is 320163588889. The next prime is 320163588929. The reversal of 320163588900 is 9885361023.

It is a happy number.

The square root of 320163588900 is 565830.

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

320163588900 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 63 + 588 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115258892004 + 204904696896 = 339498^2 + 452664^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 50921557 + ... + 50927843.

Almost surely, 2^320163588900 is an apocalyptic number.

320163588900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

320163588900 is the 565830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320163588900

320163588900 is an abundant number, since it is smaller than the sum of its proper divisors (717845385949).

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

320163588900 is an frugal number, since it uses more digits than its factorization.

320163588900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12600 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 320163588900 in words is "three hundred twenty billion, one hundred sixty-three million, five hundred eighty-eight thousand, nine hundred".