220705560144 has 30 divisors (see below), whose sum is σ = 617669033306. Its totient is φ = 73568520000.

The previous prime is 220705560139. The next prime is 220705560193. The reversal of 220705560144 is 441065507022.

It is a happy number.

220705560144 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 0 + 5 + 5 + 601 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146673680400 + 74031879744 = 382980^2 + 272088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 220705560099 and 220705560108.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 766338607 + ... + 766338894.

Almost surely, 2^220705560144 is an apocalyptic number.

220705560144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220705560144 is an abundant number, since it is smaller than the sum of its proper divisors (396963473162).

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

220705560144 is a wasteful number, since it uses less digits than its factorization.

220705560144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532677515 (or 1532677506 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 220705560144 in words is "two hundred twenty billion, seven hundred five million, five hundred sixty thousand, one hundred forty-four".