234511145200200 has 192 divisors, whose sum is σ = 820421436542400. Its totient is φ = 54890800921600.

The previous prime is 234511145200187. The next prime is 234511145200399. The reversal of 234511145200200 is 2002541115432.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 612429147 + ... + 612811946.

It is an arithmetic number, because the mean of its divisors is an integer number (4273028315325).

Almost surely, 2^{234511145200200} is an apocalyptic number.

234511145200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234511145200200 is an abundant number, since it is smaller than the sum of its proper divisors (585910291342200).

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

234511145200200 is a wasteful number, since it uses less digits than its factorization.

234511145200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225241152 (or 1225241143 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 234511145200200 its reverse (2002541115432), we get a palindrome (236513686315632).

The spelling of 234511145200200 in words is "two hundred thirty-four trillion, five hundred eleven billion, one hundred forty-five million, two hundred thousand, two hundred".