217404228096 has 400 divisors, whose sum is σ = 730767299328. Its totient is φ = 63750758400.

The previous prime is 217404228059. The next prime is 217404228101. The reversal of 217404228096 is 690822404712.

217404228096 is a `hidden beast` number, since 2 + 17 + 404 + 228 + 0 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14134266 + ... + 14149638.

Almost surely, 2^217404228096 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 217404228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365383649664).

217404228096 is an abundant number, since it is smaller than the sum of its proper divisors (513363071232).

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

217404228096 is a wasteful number, since it uses less digits than its factorization.

217404228096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15445 (or 15420 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 217404228096 in words is "two hundred seventeen billion, four hundred four million, two hundred twenty-eight thousand, ninety-six".