234315513432 has 1152 divisors, whose sum is σ = 929394984960. Its totient is φ = 51584532480.

The previous prime is 234315513401. The next prime is 234315513433.

234315513432 is a `hidden beast` number, since 2 + 3 + 43 + 1 + 551 + 34 + 32 = 666.

234315513432 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234315513433) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 748611708 + ... + 748612020.

It is an arithmetic number, because the mean of its divisors is an integer number (806766480).

Almost surely, 2^234315513432 is an apocalyptic number.

234315513432 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 234315513432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464697492480).

234315513432 is an abundant number, since it is smaller than the sum of its proper divisors (695079471528).

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

234315513432 is a wasteful number, since it uses less digits than its factorization.

234315513432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 413 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 234315 and 513432, that added together give a palindrome (747747).

The spelling of 234315513432 in words is "two hundred thirty-four billion, three hundred fifteen million, five hundred thirteen thousand, four hundred thirty-two".