230348178432 has 220 divisors, whose sum is σ = 689010742860. Its totient is φ = 76654854144.

The previous prime is 230348178413. The next prime is 230348178461. The reversal of 230348178432 is 234871843032.

230348178432 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 48 + 178 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106286432256 + 124061746176 = 326016^2 + 352224^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58805338 + ... + 58809254.

It is an arithmetic number, because the mean of its divisors is an integer number (3131867013).

Almost surely, 2^230348178432 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 230348178432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344505371430).

230348178432 is an abundant number, since it is smaller than the sum of its proper divisors (458662564428).

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

230348178432 is an equidigital number, since it uses as much as digits as its factorization.

230348178432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 230348178432 in words is "two hundred thirty billion, three hundred forty-eight million, one hundred seventy-eight thousand, four hundred thirty-two".