230614071840 has 192 divisors, whose sum is σ = 808761542400. Its totient is φ = 61374246912.

The previous prime is 230614071833. The next prime is 230614071899. The reversal of 230614071840 is 48170416032.

230614071840 is a `hidden beast` number, since 2 + 30 + 614 + 0 + 7 + 1 + 8 + 4 + 0 = 666.

230614071840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 230614071795 and 230614071804.

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 31 ways as a sum of consecutive naturals, for example, 2119896 + ... + 2226024.

It is an arithmetic number, because the mean of its divisors is an integer number (4212299700).

Almost surely, 2^230614071840 is an apocalyptic number.

230614071840 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 230614071840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404380771200).

230614071840 is an abundant number, since it is smaller than the sum of its proper divisors (578147470560).

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

230614071840 is a wasteful number, since it uses less digits than its factorization.

230614071840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106656 (or 106642 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 230614071840 its reverse (48170416032), we get a palindrome (278784487872).

The spelling of 230614071840 in words is "two hundred thirty billion, six hundred fourteen million, seventy-one thousand, eight hundred forty".