221411310132152 has 128 divisors (see below), whose sum is σ = 502787117859840. Its totient is φ = 89233171568640.

The previous prime is 221411310132113. The next prime is 221411310132253. The reversal of 221411310132152 is 251231013114122.

It is a super-2 number, since 2×221411310132152² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16608748127 + ... + 16608761457.

It is an arithmetic number, because the mean of its divisors is an integer number (3928024358280).

Almost surely, 2^{221411310132152} 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 221411310132152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251393558929920).

221411310132152 is an abundant number, since it is smaller than the sum of its proper divisors (281375807727688).

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

221411310132152 is a wasteful number, since it uses less digits than its factorization.

221411310132152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26821 (or 26817 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

Adding to 221411310132152 its reverse (251231013114122), we get a palindrome (472642323246274).

The spelling of 221411310132152 in words is "two hundred twenty-one trillion, four hundred eleven billion, three hundred ten million, one hundred thirty-two thousand, one hundred fifty-two".