220416964993 has 8 divisors (see below), whose sum is σ = 220684689512. Its totient is φ = 220149311616.

The previous prime is 220416964981. The next prime is 220416965039. The reversal of 220416964993 is 399469614022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8533510129 + 211883454864 = 92377^2 + 460308^2 .

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 220416964993 - 2⁵ = 220416964961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220416964193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8679871 + ... + 8705227.

It is an arithmetic number, because the mean of its divisors is an integer number (27585586189).

Almost surely, 2^220416964993 is an apocalyptic number.

It is an amenable number.

220416964993 is a deficient number, since it is larger than the sum of its proper divisors (267724519).

220416964993 is an equidigital number, since it uses as much as digits as its factorization.

220416964993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35571.

The product of its (nonzero) digits is 5038848, while the sum is 55.

The spelling of 220416964993 in words is "two hundred twenty billion, four hundred sixteen million, nine hundred sixty-four thousand, nine hundred ninety-three".