234259200000 has 1296 divisors, whose sum is σ = 995597137080. Its totient is φ = 52899840000.

The previous prime is 234259199981. The next prime is 234259200017. The reversal of 234259200000 is 2952432.

234259200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2822399959 + ... + 2822400041.

Almost surely, 2^234259200000 is an apocalyptic number.

234259200000 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 234259200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497798568540).

234259200000 is an abundant number, since it is smaller than the sum of its proper divisors (761337937080).

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

234259200000 is an frugal number, since it uses more digits than its factorization.

234259200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 234259200000 in words is "two hundred thirty-four billion, two hundred fifty-nine million, two hundred thousand".