234224101422432 has 432 divisors, whose sum is σ = 765100532667744. Its totient is φ = 67790009548800.

The previous prime is 234224101422419. The next prime is 234224101422523.

234224101422432 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 2 + 410 + 14 + 224 + 3 + 2 = 666.

234224101422432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 539195082 + ... + 539629302.

It is an arithmetic number, because the mean of its divisors is an integer number (1771066047842).

Almost surely, 2^{234224101422432} is an apocalyptic number.

234224101422432 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 234224101422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382550266333872).

234224101422432 is an abundant number, since it is smaller than the sum of its proper divisors (530876431245312).

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

234224101422432 is a wasteful number, since it uses less digits than its factorization.

234224101422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434955 (or 434933 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 23422410 and 1422432, that added together give a palindrome (24844842).

The spelling of 234224101422432 in words is "two hundred thirty-four trillion, two hundred twenty-four billion, one hundred one million, four hundred twenty-two thousand, four hundred thirty-two".