30694035955968 has 432 divisors, whose sum is σ = 113894996447232. Its totient is φ = 7715298816000.

The previous prime is 30694035955909. The next prime is 30694035956021. The reversal of 30694035955968 is 86955953049603.

30694035955968 is a `hidden beast` number, since 3 + 0 + 6 + 9 + 4 + 0 + 3 + 5 + 9 + 559 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 30694035955896 and 30694035955905.

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 47 ways as a sum of consecutive naturals, for example, 2709103 + ... + 8290193.

Almost surely, 2^{30694035955968} 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 30694035955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56947498223616).

30694035955968 is an abundant number, since it is smaller than the sum of its proper divisors (83200960491264).

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

30694035955968 is a wasteful number, since it uses less digits than its factorization.

30694035955968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5581162 (or 5581145 counting only the distinct ones).

The product of its (nonzero) digits is 944784000, while the sum is 72.

The spelling of 30694035955968 in words is "thirty trillion, six hundred ninety-four billion, thirty-five million, nine hundred fifty-five thousand, nine hundred sixty-eight".