220242205458 has 96 divisors (see below), whose sum is σ = 531085014720. Its totient is φ = 65405598720.

The previous prime is 220242205457. The next prime is 220242205487. The reversal of 220242205458 is 854502242022.

220242205458 is a `hidden beast` number, since 220 + 2 + 422 + 0 + 5 + 4 + 5 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (220242205451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1935985 + ... + 2046587.

It is an arithmetic number, because the mean of its divisors is an integer number (5532135570).

Almost surely, 2^220242205458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220242205458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265542507360).

220242205458 is an abundant number, since it is smaller than the sum of its proper divisors (310842809262).

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

220242205458 is a wasteful number, since it uses less digits than its factorization.

220242205458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110824 (or 110821 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 220242205458 in words is "two hundred twenty billion, two hundred forty-two million, two hundred five thousand, four hundred fifty-eight".