221533132128 has 384 divisors, whose sum is σ = 736478023680. Its totient is φ = 56638801920.

The previous prime is 221533132069. The next prime is 221533132129. The reversal of 221533132128 is 821231335122.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221533132129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136832503 + ... + 136834121.

It is an arithmetic number, because the mean of its divisors is an integer number (1917911520).

Almost surely, 2^221533132128 is an apocalyptic number.

221533132128 is a gapful number since it is divisible by the number (28) 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 221533132128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368239011840).

221533132128 is an abundant number, since it is smaller than the sum of its proper divisors (514944891552).

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

221533132128 is a wasteful number, since it uses less digits than its factorization.

221533132128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1922 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The spelling of 221533132128 in words is "two hundred twenty-one billion, five hundred thirty-three million, one hundred thirty-two thousand, one hundred twenty-eight".