217346042212992 has 2048 divisors, whose sum is σ = 868661762457600. Its totient is φ = 52251593011200.

The previous prime is 217346042212987. The next prime is 217346042213009. The reversal of 217346042212992 is 299212240643712.

It is a happy number.

217346042212992 is a `hidden beast` number, since 2 + 1 + 7 + 3 + 4 + 6 + 0 + 422 + 129 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22958275843 + ... + 22958285309.

It is an arithmetic number, because the mean of its divisors is an integer number (424151251200).

Almost surely, 2^{217346042212992} is an apocalyptic number.

217346042212992 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 217346042212992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434330881228800).

217346042212992 is an abundant number, since it is smaller than the sum of its proper divisors (651315720244608).

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

217346042212992 is a wasteful number, since it uses less digits than its factorization.

217346042212992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9584 (or 9544 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 217346042212992 in words is "two hundred seventeen trillion, three hundred forty-six billion, forty-two million, two hundred twelve thousand, nine hundred ninety-two".