234280188000 has 864 divisors, whose sum is σ = 882062213760. Its totient is φ = 61138022400.

The previous prime is 234280187987. The next prime is 234280188011. The reversal of 234280188000 is 881082432.

It is a happy number.

234280188000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2073275944 + ... + 2073276056.

It is an arithmetic number, because the mean of its divisors is an integer number (1020905340).

Almost surely, 2^234280188000 is an apocalyptic number.

234280188000 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 234280188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441031106880).

234280188000 is an abundant number, since it is smaller than the sum of its proper divisors (647782025760).

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

234280188000 is an frugal number, since it uses more digits than its factorization.

234280188000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 234280188000 in words is "two hundred thirty-four billion, two hundred eighty million, one hundred eighty-eight thousand".