230753993964 has 96 divisors (see below), whose sum is σ = 584390338560. Its totient is φ = 70445127168.

The previous prime is 230753993941. The next prime is 230753993989. The reversal of 230753993964 is 469399357032.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 230753993898 and 230753993907.

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 31 ways as a sum of consecutive naturals, for example, 51887589 + ... + 51892035.

It is an arithmetic number, because the mean of its divisors is an integer number (6087399360).

Almost surely, 2^230753993964 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 230753993964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292195169280).

230753993964 is an abundant number, since it is smaller than the sum of its proper divisors (353636344596).

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

230753993964 is a wasteful number, since it uses less digits than its factorization.

230753993964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 60.

The spelling of 230753993964 in words is "two hundred thirty billion, seven hundred fifty-three million, nine hundred ninety-three thousand, nine hundred sixty-four".