217345632381696 has 1152 divisors, whose sum is σ = 761041943101440. Its totient is φ = 53493672443904.

The previous prime is 217345632381667. The next prime is 217345632381701. The reversal of 217345632381696 is 696183236543712.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107756881680 + ... + 107756883696.

It is an arithmetic number, because the mean of its divisors is an integer number (660626686720).

Almost surely, 2^{217345632381696} is an apocalyptic number.

217345632381696 is a gapful number since it is divisible by the number (26) 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 217345632381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380520971550720).

217345632381696 is an abundant number, since it is smaller than the sum of its proper divisors (543696310719744).

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

217345632381696 is a wasteful number, since it uses less digits than its factorization.

217345632381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3667 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 66.

The spelling of 217345632381696 in words is "two hundred seventeen trillion, three hundred forty-five billion, six hundred thirty-two million, three hundred eighty-one thousand, six hundred ninety-six".