208980146305 has 24 divisors (see below), whose sum is σ = 291739591080. Its totient is φ = 143290667520.

The previous prime is 208980146293. The next prime is 208980146321. The reversal of 208980146305 is 503641089802.

It can be written as a sum of positive squares in 4 ways, for example, as 12462596496 + 196517549809 = 111636^2 + 443303^2 .

It is not a de Polignac number, because 208980146305 - 2³³ = 200390211713 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5857561 + ... + 5893129.

It is an arithmetic number, because the mean of its divisors is an integer number (12155816295).

Almost surely, 2^208980146305 is an apocalyptic number.

It is an amenable number.

208980146305 is a deficient number, since it is larger than the sum of its proper divisors (82759444775).

208980146305 is a wasteful number, since it uses less digits than its factorization.

208980146305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59569 (or 59562 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 208980146305 in words is "two hundred eight billion, nine hundred eighty million, one hundred forty-six thousand, three hundred five".