230634436032 has 1344 divisors, whose sum is σ = 961246540800. Its totient is φ = 50881167360.

The previous prime is 230634436007. The next prime is 230634436157.

230634436032 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 3 + 4 + 43 + 603 + 2 = 666.

230634436032 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 405332644 + ... + 405333212.

It is an arithmetic number, because the mean of its divisors is an integer number (715213200).

Almost surely, 2^230634436032 is an apocalyptic number.

230634436032 is a gapful number since it is divisible by the number (22) 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 230634436032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480623270400).

230634436032 is an abundant number, since it is smaller than the sum of its proper divisors (730612104768).

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

230634436032 is a wasteful number, since it uses less digits than its factorization.

230634436032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 230634 and 436032, that added together give a palindrome (666666).

The spelling of 230634436032 in words is "two hundred thirty billion, six hundred thirty-four million, four hundred thirty-six thousand, thirty-two".