234777777432 has 256 divisors, whose sum is σ = 732948134400. Its totient is φ = 61720289280.

The previous prime is 234777777379. The next prime is 234777777433.

234777777432 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234777777433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3117858 + ... + 3192270.

It is an arithmetic number, because the mean of its divisors is an integer number (2863078650).

Almost surely, 2^234777777432 is an apocalyptic number.

234777777432 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 234777777432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366474067200).

234777777432 is an abundant number, since it is smaller than the sum of its proper divisors (498170356968).

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

234777777432 is a wasteful number, since it uses less digits than its factorization.

234777777432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74506 (or 74502 counting only the distinct ones).

The product of its digits is 67765824, while the sum is 60.

The spelling of 234777777432 in words is "two hundred thirty-four billion, seven hundred seventy-seven million, seven hundred seventy-seven thousand, four hundred thirty-two".