30134789529768 has 192 divisors, whose sum is σ = 101892666844800. Its totient is φ = 7816538672640.

The previous prime is 30134789529737. The next prime is 30134789529773. The reversal of 30134789529768 is 86792598743103.

30134789529768 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 478 + 9 + 5 + 2 + 97 + 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 = 30134789529696 and 30134789529705.

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, 355998 + ... + 7771506.

It is an arithmetic number, because the mean of its divisors is an integer number (530690973150).

It is a 1-persistent number, because it is pandigital, but 2⋅30134789529768 = 60269579059536 is not.

Almost surely, 2^{30134789529768} 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 30134789529768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50946333422400).

30134789529768 is an abundant number, since it is smaller than the sum of its proper divisors (71757877315032).

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

30134789529768 is a wasteful number, since it uses less digits than its factorization.

30134789529768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7416272 (or 7416265 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 30134789529768 in words is "thirty trillion, one hundred thirty-four billion, seven hundred eighty-nine million, five hundred twenty-nine thousand, seven hundred sixty-eight".