230144534064 has 240 divisors, whose sum is σ = 695427052320. Its totient is φ = 73592064000.

The previous prime is 230144534057. The next prime is 230144534083. The reversal of 230144534064 is 460435441032.

230144534064 is a `hidden beast` number, since 2 + 301 + 4 + 4 + 5 + 340 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17695564 + ... + 17708564.

It is an arithmetic number, because the mean of its divisors is an integer number (2897612718).

Almost surely, 2^230144534064 is an apocalyptic number.

230144534064 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 230144534064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347713526160).

230144534064 is an abundant number, since it is smaller than the sum of its proper divisors (465282518256).

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

230144534064 is a wasteful number, since it uses less digits than its factorization.

230144534064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13210 (or 13192 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 230144534064 its reverse (460435441032), we get a palindrome (690579975096).

The spelling of 230144534064 in words is "two hundred thirty billion, one hundred forty-four million, five hundred thirty-four thousand, sixty-four".