3312199552968 has 288 divisors, whose sum is σ = 9604762516440. Its totient is φ = 1030774947840.

The previous prime is 3312199552967. The next prime is 3312199552973. The reversal of 3312199552968 is 8692559912133.

3312199552968 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 19 + 9 + 552 + 9 + 68 = 666.

3312199552968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3213981246564 + 98218306404 = 1792758^2 + 313398^2 .

It is not an unprimeable number, because it can be changed into a prime (3312199552967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 269694988 + ... + 269707268.

Almost surely, 2^{3312199552968} 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 3312199552968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802381258220).

3312199552968 is an abundant number, since it is smaller than the sum of its proper divisors (6292562963472).

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

3312199552968 is a wasteful number, since it uses less digits than its factorization.

3312199552968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12509 (or 12479 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 63.

The spelling of 3312199552968 in words is "three trillion, three hundred twelve billion, one hundred ninety-nine million, five hundred fifty-two thousand, nine hundred sixty-eight".