221525775072 has 144 divisors (see below), whose sum is σ = 746624092032. Its totient is φ = 63293063040.

The previous prime is 221525775067. The next prime is 221525775101. The reversal of 221525775072 is 270577525122.

It is a happy number.

221525775072 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 2 + 577 + 5 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1980454 + ... + 2089317.

It is an arithmetic number, because the mean of its divisors is an integer number (5184889528).

Almost surely, 2^221525775072 is an apocalyptic number.

It is an amenable number.

221525775072 is an abundant number, since it is smaller than the sum of its proper divisors (525098316960).

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

221525775072 is an equidigital number, since it uses as much as digits as its factorization.

221525775072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069803 (or 4069783 counting only the distinct ones).

The product of its (nonzero) digits is 686000, while the sum is 45.

The spelling of 221525775072 in words is "two hundred twenty-one billion, five hundred twenty-five million, seven hundred seventy-five thousand, seventy-two".