217434499968 has 384 divisors, whose sum is σ = 723879475200. Its totient is φ = 56577392640.

The previous prime is 217434499963. The next prime is 217434499987. The reversal of 217434499968 is 869994434712.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 217434499899 and 217434499908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217434499963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24077278 + ... + 24086306.

It is an arithmetic number, because the mean of its divisors is an integer number (1885102800).

Almost surely, 2^217434499968 is an apocalyptic number.

217434499968 is a gapful number since it is divisible by the number (28) 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 217434499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361939737600).

217434499968 is an abundant number, since it is smaller than the sum of its proper divisors (506444975232).

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

217434499968 is a wasteful number, since it uses less digits than its factorization.

217434499968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9118 (or 9089 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 66.

The spelling of 217434499968 in words is "two hundred seventeen billion, four hundred thirty-four million, four hundred ninety-nine thousand, nine hundred sixty-eight".