221604844032 has 1200 divisors, whose sum is σ = 811303489920. Its totient is φ = 59779399680.

The previous prime is 221604844031. The next prime is 221604844079. The reversal of 221604844032 is 230448406122.

221604844032 is a `hidden beast` number, since 2 + 2 + 1 + 604 + 8 + 4 + 40 + 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 (221604844031) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2805124569 + ... + 2805124647.

Almost surely, 2^221604844032 is an apocalyptic number.

221604844032 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 221604844032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405651744960).

221604844032 is an abundant number, since it is smaller than the sum of its proper divisors (589698645888).

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

221604844032 is a wasteful number, since it uses less digits than its factorization.

221604844032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 221604844032 in words is "two hundred twenty-one billion, six hundred four million, eight hundred forty-four thousand, thirty-two".