234132032000000 has 364 divisors, whose sum is σ = 585874253213568. Its totient is φ = 93553152000000.

The previous prime is 234132031999969. The next prime is 234132032000011. The reversal of 234132032000000 is 230231432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 101311998845 + ... + 101312001155.

Almost surely, 2^{234132032000000} is an apocalyptic number.

234132032000000 is a gapful number since it is divisible by the number (20) 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 234132032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292937126606784).

234132032000000 is an abundant number, since it is smaller than the sum of its proper divisors (351742221213568).

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

234132032000000 is an frugal number, since it uses more digits than its factorization.

234132032000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 234132032000000 its reverse (230231432), we get a palindrome (234132262231432).

The spelling of 234132032000000 in words is "two hundred thirty-four trillion, one hundred thirty-two billion, thirty-two million", and thus it is an aban number.