608632353849312 has 864 divisors, whose sum is σ = 2012574254745600. Its totient is φ = 180637449947136.

The previous prime is 608632353849301. The next prime is 608632353849343. The reversal of 608632353849312 is 213948353236806.

It is a happy number.

608632353849312 is a `hidden beast` number, since 6 + 0 + 8 + 6 + 3 + 2 + 3 + 538 + 4 + 93 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 608632353849312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42035516889 + ... + 42035531367.

It is an arithmetic number, because the mean of its divisors is an integer number (2329368350400).

Almost surely, 2^{608632353849312} 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 608632353849312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006287127372800).

608632353849312 is an abundant number, since it is smaller than the sum of its proper divisors (1403941900896288).

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

608632353849312 is a wasteful number, since it uses less digits than its factorization.

608632353849312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15662 (or 15629 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 608632353849312 in words is "six hundred eight trillion, six hundred thirty-two billion, three hundred fifty-three million, eight hundred forty-nine thousand, three hundred twelve".