208045034765568 has 9720 divisors, whose sum is σ = 988180628117760. Its totient is φ = 43041167769600.

The previous prime is 208045034765527. The next prime is 208045034765569. The reversal of 208045034765568 is 865567430540802.

208045034765568 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 4 + 5 + 0 + 3 + 4 + 7 + 65 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208045034765569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 6711130153713 + ... + 6711130153743.

Almost surely, 2^{208045034765568} is an apocalyptic number.

208045034765568 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 208045034765568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494090314058880).

208045034765568 is an abundant number, since it is smaller than the sum of its proper divisors (780135593352192).

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

208045034765568 is a wasteful number, since it uses less digits than its factorization.

208045034765568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 208045034765568 in words is "two hundred eight trillion, forty-five billion, thirty-four million, seven hundred sixty-five thousand, five hundred sixty-eight".