230111230464 has 240 divisors, whose sum is σ = 690583556520. Its totient is φ = 73674424320.

The previous prime is 230111230457. The next prime is 230111230487. The reversal of 230111230464 is 464032111032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 218081528064 + 12029702400 = 466992^2 + 109680^2 .

It is a super-2 number, since 2×230111230464² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26321134 + ... + 26329874.

Almost surely, 2^230111230464 is an apocalyptic number.

230111230464 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 230111230464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345291778260).

230111230464 is an abundant number, since it is smaller than the sum of its proper divisors (460472326056).

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

230111230464 is a wasteful number, since it uses less digits than its factorization.

230111230464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8991 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 230111230464 its reverse (464032111032), we get a palindrome (694143341496).

The spelling of 230111230464 in words is "two hundred thirty billion, one hundred eleven million, two hundred thirty thousand, four hundred sixty-four".