217357228128 has 768 divisors, whose sum is σ = 680356454400. Its totient is φ = 60383232000.

The previous prime is 217357228093. The next prime is 217357228139. The reversal of 217357228128 is 821822753712.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3563233218 + ... + 3563233278.

It is an arithmetic number, because the mean of its divisors is an integer number (885880800).

Almost surely, 2^217357228128 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 217357228128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340178227200).

217357228128 is an abundant number, since it is smaller than the sum of its proper divisors (462999226272).

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

217357228128 is a wasteful number, since it uses less digits than its factorization.

217357228128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The spelling of 217357228128 in words is "two hundred seventeen billion, three hundred fifty-seven million, two hundred twenty-eight thousand, one hundred twenty-eight".