234114220032 has 512 divisors, whose sum is σ = 787275624960. Its totient is φ = 60114862080.

The previous prime is 234114220027. The next prime is 234114220049. The reversal of 234114220032 is 230022411432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 234114219984 and 234114220011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188396958 + ... + 1188397154.

It is an arithmetic number, because the mean of its divisors is an integer number (1537647705).

Almost surely, 2^234114220032 is an apocalyptic number.

234114220032 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 234114220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393637812480).

234114220032 is an abundant number, since it is smaller than the sum of its proper divisors (553161404928).

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

234114220032 is a wasteful number, since it uses less digits than its factorization.

234114220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 234114220032 its reverse (230022411432), we get a palindrome (464136631464).

The spelling of 234114220032 in words is "two hundred thirty-four billion, one hundred fourteen million, two hundred twenty thousand, thirty-two".