220455656617 has 24 divisors (see below), whose sum is σ = 272232047880. Its totient is φ = 177389130240.

The previous prime is 220455656591. The next prime is 220455656647. The reversal of 220455656617 is 716656554022.

220455656617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25993178176 + 194462478441 = 161224^2 + 440979^2 .

It is not a de Polignac number, because 220455656617 - 2²³ = 220447268009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220455656647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16134 + ... + 664207.

It is an arithmetic number, because the mean of its divisors is an integer number (11343001995).

Almost surely, 2^220455656617 is an apocalyptic number.

It is an amenable number.

220455656617 is a deficient number, since it is larger than the sum of its proper divisors (51776391263).

220455656617 is a wasteful number, since it uses less digits than its factorization.

220455656617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680761 (or 680754 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 49.

The spelling of 220455656617 in words is "two hundred twenty billion, four hundred fifty-five million, six hundred fifty-six thousand, six hundred seventeen".