234735537432 has 128 divisors (see below), whose sum is σ = 647338936320. Its totient is φ = 70346096000.

The previous prime is 234735537431. The next prime is 234735537473.

234735537432 is nontrivially palindromic in base 10.

Its product of digits (6350400) is a multiple of the sum of its prime divisors (980).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234735537431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 271999033 + ... + 271999895.

It is an arithmetic number, because the mean of its divisors is an integer number (5057335440).

Almost surely, 2^234735537432 is an apocalyptic number.

234735537432 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 234735537432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323669468160).

234735537432 is an abundant number, since it is smaller than the sum of its proper divisors (412603398888).

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

234735537432 is an equidigital number, since it uses as much as digits as its factorization.

234735537432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 980 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 48.

The spelling of 234735537432 in words is "two hundred thirty-four billion, seven hundred thirty-five million, five hundred thirty-seven thousand, four hundred thirty-two".