217139068901376 has 288 divisors, whose sum is σ = 653958258080400. Its totient is φ = 71979771985920.

The previous prime is 217139068901369. The next prime is 217139068901389. The reversal of 217139068901376 is 673109860931712.

217139068901376 is a `hidden beast` number, since 2 + 1 + 71 + 390 + 68 + 90 + 1 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×217139068901376² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88871890 + ... + 91282478.

Almost surely, 2^{217139068901376} 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 217139068901376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326979129040200).

217139068901376 is an abundant number, since it is smaller than the sum of its proper divisors (436819189179024).

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

217139068901376 is an equidigital number, since it uses as much as digits as its factorization.

217139068901376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410807 (or 2410775 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 217139068901376 in words is "two hundred seventeen trillion, one hundred thirty-nine billion, sixty-eight million, nine hundred one thousand, three hundred seventy-six".