220334616090000 has 600 divisors, whose sum is σ = 823789614840192. Its totient is φ = 54762739200000.

The previous prime is 220334616089999. The next prime is 220334616090007. The reversal of 220334616090000 is 90616433022.

220334616090000 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 3 + 46 + 1 + 609 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (220334616090007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 156890925 + ... + 158289075.

Almost surely, 2^{220334616090000} is an apocalyptic number.

220334616090000 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 220334616090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411894807420096).

220334616090000 is an abundant number, since it is smaller than the sum of its proper divisors (603454998750192).

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

220334616090000 is a wasteful number, since it uses less digits than its factorization.

220334616090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398305 (or 1398281 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 220334616090000 in words is "two hundred twenty trillion, three hundred thirty-four billion, six hundred sixteen million, ninety thousand".