220333350044100 has 144 divisors (see below), whose sum is σ = 649581186018240. Its totient is φ = 57642074380800.

The previous prime is 220333350044057. The next prime is 220333350044177. The reversal of 220333350044100 is 1440053333022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188771295 + ... + 189934905.

It is an arithmetic number, because the mean of its divisors is an integer number (4510980458460).

Almost surely, 2^{220333350044100} is an apocalyptic number.

220333350044100 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 220333350044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324790593009120).

220333350044100 is an abundant number, since it is smaller than the sum of its proper divisors (429247835974140).

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

220333350044100 is a wasteful number, since it uses less digits than its factorization.

220333350044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175590 (or 1175583 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The spelling of 220333350044100 in words is "two hundred twenty trillion, three hundred thirty-three billion, three hundred fifty million, forty-four thousand, one hundred".