221188316130432 has 960 divisors, whose sum is σ = 751062240077760. Its totient is φ = 62474794905600.

The previous prime is 221188316130373. The next prime is 221188316130449. The reversal of 221188316130432 is 234031613881122.

221188316130432 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 8 + 83 + 1 + 6 + 130 + 432 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 94808535538 + ... + 94808537870.

It is an arithmetic number, because the mean of its divisors is an integer number (782356500081).

Almost surely, 2^{221188316130432} 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 221188316130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375531120038880).

221188316130432 is an abundant number, since it is smaller than the sum of its proper divisors (529873923947328).

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

221188316130432 is a wasteful number, since it uses less digits than its factorization.

221188316130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 221188316130432 in words is "two hundred twenty-one trillion, one hundred eighty-eight billion, three hundred sixteen million, one hundred thirty thousand, four hundred thirty-two".