220941504001 has 8 divisors (see below), whose sum is σ = 223580471400. Its totient is φ = 218306014080.

The previous prime is 220941503987. The next prime is 220941504023. The reversal of 220941504001 is 100405149022.

It can be written as a sum of positive squares in 4 ways, for example, as 1918440000 + 219023064001 = 43800^2 + 467999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 220941504001 - 2²⁵ = 220907949569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220941504101) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 741430 + ... + 995791.

It is an arithmetic number, because the mean of its divisors is an integer number (27947558925).

Almost surely, 2^220941504001 is an apocalyptic number.

It is an amenable number.

220941504001 is a deficient number, since it is larger than the sum of its proper divisors (2638967399).

220941504001 is a wasteful number, since it uses less digits than its factorization.

220941504001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738739.

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 220941504001 in words is "two hundred twenty billion, nine hundred forty-one million, five hundred four thousand, one".