217109490336 has 144 divisors (see below), whose sum is σ = 627997406400. Its totient is φ = 71137059840.

The previous prime is 217109490329. The next prime is 217109490397. The reversal of 217109490336 is 633094901712.

217109490336 is a `hidden beast` number, since 21 + 7 + 109 + 490 + 3 + 36 = 666.

217109490336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 217109490291 and 217109490300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4734076 + ... + 4779716.

It is an arithmetic number, because the mean of its divisors is an integer number (4361093100).

Almost surely, 2^217109490336 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 217109490336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313998703200).

217109490336 is an abundant number, since it is smaller than the sum of its proper divisors (410887916064).

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

217109490336 is a wasteful number, since it uses less digits than its factorization.

217109490336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45939 (or 45928 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 217109490336 in words is "two hundred seventeen billion, one hundred nine million, four hundred ninety thousand, three hundred thirty-six".