220333113000000 has 4704 divisors, whose sum is σ = 1090215640061184. Its totient is φ = 41057280000000.

The previous prime is 220333112999977. The next prime is 220333113000023. The reversal of 220333113000000 is 311333022.

220333113000000 is a `hidden beast` number, since 2 + 20 + 33 + 311 + 300 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (220333112999977) and next prime (220333113000023).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 333332999670 + ... + 333333000330.

Almost surely, 2^{220333113000000} is an apocalyptic number.

220333113000000 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 220333113000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545107820030592).

220333113000000 is an abundant number, since it is smaller than the sum of its proper divisors (869882527061184).

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

220333113000000 is a wasteful number, since it uses less digits than its factorization.

220333113000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 220333113000000 its reverse (311333022), we get a palindrome (220333424333022).

The spelling of 220333113000000 in words is "two hundred twenty trillion, three hundred thirty-three billion, one hundred thirteen million", and thus it is an aban number.