230436634032 has 360 divisors, whose sum is σ = 735434022960. Its totient is φ = 67250304000.

The previous prime is 230436634031. The next prime is 230436634037.

230436634032 is a `hidden beast` number, since 2 + 304 + 3 + 6 + 6 + 340 + 3 + 2 = 666.

230436634032 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (230436634031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65111719 + ... + 65115257.

It is an arithmetic number, because the mean of its divisors is an integer number (2042872286).

Almost surely, 2^230436634032 is an apocalyptic number.

230436634032 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 230436634032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367717011480).

230436634032 is an abundant number, since it is smaller than the sum of its proper divisors (504997388928).

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

230436634032 is a wasteful number, since it uses less digits than its factorization.

230436634032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3693 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, 230436 and 634032, that added together give a palindrome (864468).

The spelling of 230436634032 in words is "two hundred thirty billion, four hundred thirty-six million, six hundred thirty-four thousand, thirty-two".