234552035445200 has 480 divisors, whose sum is σ = 689119821901440. Its totient is φ = 75609848217600.

The previous prime is 234552035445121. The next prime is 234552035445209. The reversal of 234552035445200 is 2544530255432.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234552035445209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245390612 + ... + 246344588.

It is an arithmetic number, because the mean of its divisors is an integer number (1435666295628).

Almost surely, 2^{234552035445200} is an apocalyptic number.

234552035445200 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 234552035445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344559910950720).

234552035445200 is an abundant number, since it is smaller than the sum of its proper divisors (454567786456240).

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

234552035445200 is a wasteful number, since it uses less digits than its factorization.

234552035445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954215 (or 954204 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 44.

The spelling of 234552035445200 in words is "two hundred thirty-four trillion, five hundred fifty-two billion, thirty-five million, four hundred forty-five thousand, two hundred".