221363135532 has 288 divisors, whose sum is σ = 711146741760. Its totient is φ = 56390463360.

The previous prime is 221363135503. The next prime is 221363135537. The reversal of 221363135532 is 235531363122.

221363135532 is a `hidden beast` number, since 2 + 2 + 13 + 631 + 3 + 5 + 5 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (221363135537) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44385543 + ... + 44390529.

It is an arithmetic number, because the mean of its divisors is an integer number (2469259520).

Almost surely, 2^221363135532 is an apocalyptic number.

221363135532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221363135532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355573370880).

221363135532 is an abundant number, since it is smaller than the sum of its proper divisors (489783606228).

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

221363135532 is a wasteful number, since it uses less digits than its factorization.

221363135532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5316 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

Adding to 221363135532 its reverse (235531363122), we get a palindrome (456894498654).

The spelling of 221363135532 in words is "two hundred twenty-one billion, three hundred sixty-three million, one hundred thirty-five thousand, five hundred thirty-two".