230512785984 has 392 divisors, whose sum is σ = 741234082680. Its totient is φ = 70672269312.

The previous prime is 230512785983. The next prime is 230512786003. The reversal of 230512785984 is 489587215032.

230512785984 is a `hidden beast` number, since 2 + 3 + 0 + 512 + 78 + 59 + 8 + 4 = 666.

230512785984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23189198400 + 207323587584 = 152280^2 + 455328^2 .

It is a super-2 number, since 2×230512785984² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 230512785984.

It is not an unprimeable number, because it can be changed into a prime (230512785983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 235938904 + ... + 235939880.

Almost surely, 2^230512785984 is an apocalyptic number.

230512785984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230512785984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370617041340).

230512785984 is an abundant number, since it is smaller than the sum of its proper divisors (510721296696).

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

230512785984 is an equidigital number, since it uses as much as digits as its factorization.

230512785984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 230512785984 in words is "two hundred thirty billion, five hundred twelve million, seven hundred eighty-five thousand, nine hundred eighty-four".