234431424124144 has 160 divisors (see below), whose sum is σ = 502463685515904. Its totient is φ = 105268895170560.

The previous prime is 234431424124141. The next prime is 234431424124273. The reversal of 234431424124144 is 441421424134432.

It is a super-3 number, since 3×234431424124144³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 234431424124144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234431424124141) 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 31 ways as a sum of consecutive naturals, for example, 27061224357 + ... + 27061233019.

Almost surely, 2^{234431424124144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234431424124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251231842757952).

234431424124144 is an abundant number, since it is smaller than the sum of its proper divisors (268032261391760).

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

234431424124144 is a wasteful number, since it uses less digits than its factorization.

234431424124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17115 (or 17109 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 43.

Adding to 234431424124144 its reverse (441421424134432), we get a palindrome (675852848258576).

The spelling of 234431424124144 in words is "two hundred thirty-four trillion, four hundred thirty-one billion, four hundred twenty-four million, one hundred twenty-four thousand, one hundred forty-four".