221298645888 has 704 divisors, whose sum is σ = 737210793600. Its totient is φ = 65847665664.

The previous prime is 221298645863. The next prime is 221298645901. The reversal of 221298645888 is 888546892122.

221298645888 is a `hidden beast` number, since 2 + 2 + 1 + 29 + 86 + 458 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 3302964831 + ... + 3302964897.

Almost surely, 2^221298645888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221298645888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368605396800).

221298645888 is an abundant number, since it is smaller than the sum of its proper divisors (515912147712).

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

221298645888 is an frugal number, since it uses more digits than its factorization.

221298645888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 114 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 63.

The spelling of 221298645888 in words is "two hundred twenty-one billion, two hundred ninety-eight million, six hundred forty-five thousand, eight hundred eighty-eight".