208666526035968 has 1664 divisors, whose sum is σ = 835069205053440. Its totient is φ = 49725949870080.

The previous prime is 208666526035963. The next prime is 208666526035999. The reversal of 208666526035968 is 869530625666802.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×208666526035968² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 208666526035896 and 208666526035905.

It is not an unprimeable number, because it can be changed into a prime (208666526035963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18487327221 + ... + 18487338507.

Almost surely, 2^{208666526035968} is an apocalyptic number.

208666526035968 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 208666526035968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417534602526720).

208666526035968 is an abundant number, since it is smaller than the sum of its proper divisors (626402679017472).

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

208666526035968 is a wasteful number, since it uses less digits than its factorization.

208666526035968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11518 (or 11490 counting only the distinct ones).

The product of its (nonzero) digits is 1343692800, while the sum is 72.

The spelling of 208666526035968 in words is "two hundred eight trillion, six hundred sixty-six billion, five hundred twenty-six million, thirty-five thousand, nine hundred sixty-eight".