30233083968 has 336 divisors, whose sum is σ = 95558823360. Its totient is φ = 9099804672.

The previous prime is 30233083967. The next prime is 30233083981. The reversal of 30233083968 is 86938033203.

30233083968 is a `hidden beast` number, since 302 + 3 + 308 + 39 + 6 + 8 = 666.

It is a super-2 number, since 2×30233083968² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (30233083967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24841696 + ... + 24842912.

It is an arithmetic number, because the mean of its divisors is an integer number (284401260).

Almost surely, 2^30233083968 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 30233083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47779411680).

30233083968 is an abundant number, since it is smaller than the sum of its proper divisors (65325739392).

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

30233083968 is a wasteful number, since it uses less digits than its factorization.

30233083968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 30233083968 in words is "thirty billion, two hundred thirty-three million, eighty-three thousand, nine hundred sixty-eight".