220134363563016 has 256 divisors, whose sum is σ = 707527349452800. Its totient is φ = 62890157920320.

The previous prime is 220134363562913. The next prime is 220134363563017. The reversal of 220134363563016 is 610365363431022.

220134363563016 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 3 + 4 + 3 + 6 + 3 + 5 + 630 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (220134363563017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1563039721 + ... + 1563180551.

It is an arithmetic number, because the mean of its divisors is an integer number (2763778708800).

Almost surely, 2^{220134363563016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220134363563016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353763674726400).

220134363563016 is an abundant number, since it is smaller than the sum of its proper divisors (487392985889784).

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

220134363563016 is a wasteful number, since it uses less digits than its factorization.

220134363563016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153628 (or 153606 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 220134363563016 in words is "two hundred twenty trillion, one hundred thirty-four billion, three hundred sixty-three million, five hundred sixty-three thousand, sixteen".