208045022976 has 864 divisors, whose sum is σ = 752110894080. Its totient is φ = 53965357056.

The previous prime is 208045022929. The next prime is 208045022987. The reversal of 208045022976 is 679220540802.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1496726715 + ... + 1496726853.

It is an arithmetic number, because the mean of its divisors is an integer number (870498720).

Almost surely, 2^208045022976 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 208045022976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376055447040).

208045022976 is an abundant number, since it is smaller than the sum of its proper divisors (544065871104).

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

208045022976 is a wasteful number, since it uses less digits than its factorization.

208045022976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 208045022976 in words is "two hundred eight billion, forty-five million, twenty-two thousand, nine hundred seventy-six".