208419920829 has 64 divisors (see below), whose sum is σ = 326108851200. Its totient is φ = 131420874816.

The previous prime is 208419920827. The next prime is 208419920833. The reversal of 208419920829 is 928029914802.

It is not a de Polignac number, because 208419920829 - 2¹ = 208419920827 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208419920827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4566727 + ... + 4612139.

It is an arithmetic number, because the mean of its divisors is an integer number (5095450800).

Almost surely, 2^208419920829 is an apocalyptic number.

It is an amenable number.

208419920829 is a deficient number, since it is larger than the sum of its proper divisors (117688930371).

208419920829 is a wasteful number, since it uses less digits than its factorization.

208419920829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45591 (or 45585 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 208419920829 in words is "two hundred eight billion, four hundred nineteen million, nine hundred twenty thousand, eight hundred twenty-nine".