221772606336 has 192 divisors, whose sum is σ = 667383649920. Its totient is φ = 70554756096.

The previous prime is 221772606323. The next prime is 221772606373. The reversal of 221772606336 is 633606277122.

221772606336 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 7 + 2 + 6 + 0 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 221772606291 and 221772606300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12364671 + ... + 12382593.

It is an arithmetic number, because the mean of its divisors is an integer number (3475956510).

Almost surely, 2^221772606336 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 221772606336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333691824960).

221772606336 is an abundant number, since it is smaller than the sum of its proper divisors (445611043584).

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

221772606336 is a wasteful number, since it uses less digits than its factorization.

221772606336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18433 (or 18418 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 221772606336 in words is "two hundred twenty-one billion, seven hundred seventy-two million, six hundred six thousand, three hundred thirty-six".