30823403975364 has 768 divisors, whose sum is σ = 105039160934400. Its totient is φ = 6768180633600.

The previous prime is 30823403975311. The next prime is 30823403975369. The reversal of 30823403975364 is 46357930432803.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (30823403975369) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 9176361517 + ... + 9176364875.

It is an arithmetic number, because the mean of its divisors is an integer number (136769740800).

Almost surely, 2^{30823403975364} 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 30823403975364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52519580467200).

30823403975364 is an abundant number, since it is smaller than the sum of its proper divisors (74215756959036).

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

30823403975364 is a wasteful number, since it uses less digits than its factorization.

30823403975364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 57.

The spelling of 30823403975364 in words is "thirty trillion, eight hundred twenty-three billion, four hundred three million, nine hundred seventy-five thousand, three hundred sixty-four".