230316315840 has 448 divisors, whose sum is σ = 921066585600. Its totient is φ = 53708894208.

The previous prime is 230316315839. The next prime is 230316315871. The reversal of 230316315840 is 48513613032.

230316315840 is a `hidden beast` number, since 2 + 30 + 3 + 16 + 31 + 584 + 0 = 666.

230316315840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×230316315840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230316315795 and 230316315804.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2080119 + ... + 2188041.

It is an arithmetic number, because the mean of its divisors is an integer number (2055952200).

Almost surely, 2^230316315840 is an apocalyptic number.

230316315840 is a gapful number since it is divisible by the number (20) 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 230316315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460533292800).

230316315840 is an abundant number, since it is smaller than the sum of its proper divisors (690750269760).

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

230316315840 is a wasteful number, since it uses less digits than its factorization.

230316315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107981 (or 107965 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 230316315840 its reverse (48513613032), we get a palindrome (278829928872).

The spelling of 230316315840 in words is "two hundred thirty billion, three hundred sixteen million, three hundred fifteen thousand, eight hundred forty".