234634404436432 has 240 divisors, whose sum is σ = 615039084979200. Its totient is φ = 84378870005760.

The previous prime is 234634404436343. The next prime is 234634404436489.

234634404436432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 234634404436432.

It is a congruent number.

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, 4041976944 + ... + 4042034992.

It is an arithmetic number, because the mean of its divisors is an integer number (2562662854080).

Almost surely, 2^{234634404436432} is an apocalyptic number.

234634404436432 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 234634404436432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307519542489600).

234634404436432 is an abundant number, since it is smaller than the sum of its proper divisors (380404680542768).

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

234634404436432 is a wasteful number, since it uses less digits than its factorization.

234634404436432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81042 (or 81025 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 52.

It can be divided in two parts, 23463440 and 4436432, that added together give a palindrome (27899872).

The spelling of 234634404436432 in words is "two hundred thirty-four trillion, six hundred thirty-four billion, four hundred four million, four hundred thirty-six thousand, four hundred thirty-two".