221616604217232 has 1200 divisors, whose sum is σ = 791768029852800. Its totient is φ = 59548329308160.

The previous prime is 221616604217179. The next prime is 221616604217293. The reversal of 221616604217232 is 232712406616122.

221616604217232 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 1 + 6 + 604 + 2 + 1 + 7 + 2 + 32 = 666.

It is a super-2 number, since 2×221616604217232² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23528671819 + ... + 23528681237.

It is an arithmetic number, because the mean of its divisors is an integer number (659806691544).

Almost surely, 2^{221616604217232} 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 221616604217232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395884014926400).

221616604217232 is an abundant number, since it is smaller than the sum of its proper divisors (570151425635568).

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

221616604217232 is a wasteful number, since it uses less digits than its factorization.

221616604217232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9746 (or 9724 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 221616604217232 in words is "two hundred twenty-one trillion, six hundred sixteen billion, six hundred four million, two hundred seventeen thousand, two hundred thirty-two".