30368500916688 has 240 divisors, whose sum is σ = 98580606508800. Its totient is φ = 8625006673920.

The previous prime is 30368500916659. The next prime is 30368500916693. The reversal of 30368500916688 is 88661900586303.

30368500916688 is a `hidden beast` number, since 3 + 0 + 3 + 68 + 500 + 9 + 1 + 6 + 68 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4076448 + ... + 8795136.

It is an arithmetic number, because the mean of its divisors is an integer number (410752527120).

Almost surely, 2^{30368500916688} 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 30368500916688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49290303254400).

30368500916688 is an abundant number, since it is smaller than the sum of its proper divisors (68212105592112).

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

30368500916688 is a wasteful number, since it uses less digits than its factorization.

30368500916688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718970 (or 4718961 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 30368500916688 in words is "thirty trillion, three hundred sixty-eight billion, five hundred million, nine hundred sixteen thousand, six hundred eighty-eight".