114333121205325 has 72 divisors (see below), whose sum is σ = 228848769991296. Its totient is φ = 54082185888000.

The previous prime is 114333121205291. The next prime is 114333121205341. The reversal of 114333121205325 is 523502121333411.

114333121205325 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 3 + 3 + 121 + 205 + 325 = 666.

It is not a de Polignac number, because 114333121205325 - 2¹⁴ = 114333121188941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114333121205325.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 563254629 + ... + 563457578.

It is an arithmetic number, because the mean of its divisors is an integer number (3178455138768).

Almost surely, 2^{114333121205325} is an apocalyptic number.

114333121205325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114333121205325 is an abundant number, since it is smaller than the sum of its proper divisors (114515648785971).

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

114333121205325 is a wasteful number, since it uses less digits than its factorization.

114333121205325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126712275 (or 1126712267 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 114333121205325 its reverse (523502121333411), we get a palindrome (637835242538736).

The spelling of 114333121205325 in words is "one hundred fourteen trillion, three hundred thirty-three billion, one hundred twenty-one million, two hundred five thousand, three hundred twenty-five".