220553745506704 has 45 divisors (see below), whose sum is σ = 432809711886657. Its totient is φ = 108878646207552.

The previous prime is 220553745506693. The next prime is 220553745506719. The reversal of 220553745506704 is 407605547355022.

The square root of 220553745506704 is 14851052.

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

It can be written as a sum of positive squares in only one way, i.e., 103566851168400 + 116986894338304 = 10176780^2 + 10816048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4692908934 + ... + 4692955930.

Almost surely, 2^{220553745506704} is an apocalyptic number.

220553745506704 is the 14851052-nd square number.

It is an amenable number.

220553745506704 is a deficient number, since it is larger than the sum of its proper divisors (212255966379953).

220553745506704 is an frugal number, since it uses more digits than its factorization.

220553745506704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94160 (or 47078 counting only the distinct ones).

The product of its (nonzero) digits is 35280000, while the sum is 55.

The spelling of 220553745506704 in words is "two hundred twenty trillion, five hundred fifty-three billion, seven hundred forty-five million, five hundred six thousand, seven hundred four".