332141214114000 has 240 divisors, whose sum is σ = 1174742837598720. Its totient is φ = 87449838278400.

The previous prime is 332141214113983. The next prime is 332141214114037. The reversal of 332141214114000 is 411412141233.

It is a happy number.

332141214114000 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 41 + 214 + 1 + 1 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×332141214114000² (a number of 30 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 115364644 + ... + 118208643.

It is an arithmetic number, because the mean of its divisors is an integer number (4894761823328).

Almost surely, 2^{332141214114000} is an apocalyptic number.

332141214114000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332141214114000 is an abundant number, since it is smaller than the sum of its proper divisors (842601623484720).

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

332141214114000 is a wasteful number, since it uses less digits than its factorization.

332141214114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233573395 (or 233573376 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 332141214114000 its reverse (411412141233), we get a palindrome (332552626255233).

The spelling of 332141214114000 in words is "three hundred thirty-two trillion, one hundred forty-one billion, two hundred fourteen million, one hundred fourteen thousand".