220517681472 has 280 divisors, whose sum is σ = 714094900992. Its totient is φ = 66731212800.

The previous prime is 220517681437. The next prime is 220517681479. The reversal of 220517681472 is 274186715022.

220517681472 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 176 + 8 + 1 + 472 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220517681479) 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 39 ways as a sum of consecutive naturals, for example, 49209472 + ... + 49213952.

Almost surely, 2^220517681472 is an apocalyptic number.

220517681472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220517681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357047450496).

220517681472 is an abundant number, since it is smaller than the sum of its proper divisors (493577219520).

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

220517681472 is a wasteful number, since it uses less digits than its factorization.

220517681472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 220517681472 in words is "two hundred twenty billion, five hundred seventeen million, six hundred eighty-one thousand, four hundred seventy-two".