208016568342 has 320 divisors, whose sum is σ = 558214778880. Its totient is φ = 57160857600.

The previous prime is 208016568313. The next prime is 208016568343. The reversal of 208016568342 is 243865610802.

208016568342 is a `hidden beast` number, since 2 + 0 + 80 + 1 + 6 + 568 + 3 + 4 + 2 = 666.

It is a super-3 number, since 3×208016568342³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208016568343) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 337141618 + ... + 337142234.

It is an arithmetic number, because the mean of its divisors is an integer number (1744421184).

Almost surely, 2^208016568342 is an apocalyptic number.

208016568342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 208016568342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279107389440).

208016568342 is an abundant number, since it is smaller than the sum of its proper divisors (350198210538).

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

208016568342 is a wasteful number, since it uses less digits than its factorization.

208016568342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 208016568342 in words is "two hundred eight billion, sixteen million, five hundred sixty-eight thousand, three hundred forty-two".