234376414214000 has 80 divisors (see below), whose sum is σ = 566731695198240. Its totient is φ = 93748989900800.

The previous prime is 234376414213979. The next prime is 234376414214003. The reversal of 234376414214000 is 412414673432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234376414214003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121863839 + ... + 123772161.

It is an arithmetic number, because the mean of its divisors is an integer number (7084146189978).

Almost surely, 2^{234376414214000} is an apocalyptic number.

234376414214000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234376414214000 is an abundant number, since it is smaller than the sum of its proper divisors (332355280984240).

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

234376414214000 is a wasteful number, since it uses less digits than its factorization.

234376414214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969755 (or 1969739 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 41.

Adding to 234376414214000 its reverse (412414673432), we get a palindrome (234788828887432).

The spelling of 234376414214000 in words is "two hundred thirty-four trillion, three hundred seventy-six billion, four hundred fourteen million, two hundred fourteen thousand".