221104300032 has 1344 divisors, whose sum is σ = 883266508800. Its totient is φ = 51527024640.

The previous prime is 221104299991. The next prime is 221104300057. The reversal of 221104300032 is 230003401122.

221104300032 is a `hidden beast` number, since 221 + 10 + 430 + 0 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×221104300032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221104299978 and 221104300014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2798788569 + ... + 2798788647.

Almost surely, 2^221104300032 is an apocalyptic number.

221104300032 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 221104300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441633254400).

221104300032 is an abundant number, since it is smaller than the sum of its proper divisors (662162208768).

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

221104300032 is a wasteful number, since it uses less digits than its factorization.

221104300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221104300032 its reverse (230003401122), we get a palindrome (451107701154).

The spelling of 221104300032 in words is "two hundred twenty-one billion, one hundred four million, three hundred thousand, thirty-two".