220146851600 has 240 divisors, whose sum is σ = 634839367680. Its totient is φ = 72476467200.

The previous prime is 220146851597. The next prime is 220146851669. The reversal of 220146851600 is 6158641022.

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 47 ways as a sum of consecutive naturals, for example, 1614065 + ... + 1745135.

It is an arithmetic number, because the mean of its divisors is an integer number (2645164032).

Almost surely, 2^220146851600 is an apocalyptic number.

220146851600 is a gapful number since it is divisible by the number (20) 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 220146851600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317419683840).

220146851600 is an abundant number, since it is smaller than the sum of its proper divisors (414692516080).

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

220146851600 is a wasteful number, since it uses less digits than its factorization.

220146851600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131138 (or 131127 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 220146851600 in words is "two hundred twenty billion, one hundred forty-six million, eight hundred fifty-one thousand, six hundred".