208812323496942 has 256 divisors, whose sum is σ = 515261446318080. Its totient is φ = 62152272000000.

The previous prime is 208812323496919. The next prime is 208812323496961. The reversal of 208812323496942 is 249694323218802.

208812323496942 is a `hidden beast` number, since 2 + 0 + 8 + 81 + 2 + 3 + 23 + 496 + 9 + 42 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 208812323496942.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16061244442 + ... + 16061257442.

It is an arithmetic number, because the mean of its divisors is an integer number (2012740024680).

Almost surely, 2^{208812323496942} is an apocalyptic number.

208812323496942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 208812323496942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257630723159040).

208812323496942 is an abundant number, since it is smaller than the sum of its proper divisors (306449122821138).

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

208812323496942 is a wasteful number, since it uses less digits than its factorization.

208812323496942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14488 (or 14482 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 208812323496942 in words is "two hundred eight trillion, eight hundred twelve billion, three hundred twenty-three million, four hundred ninety-six thousand, nine hundred forty-two".