114323201514000 has 960 divisors, whose sum is σ = 429344301634560. Its totient is φ = 28263557836800.

The previous prime is 114323201513993. The next prime is 114323201514023. The reversal of 114323201514000 is 415102323411.

114323201514000 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 2 + 3 + 201 + 51 + 400 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7196014057 + ... + 7196029943.

It is an arithmetic number, because the mean of its divisors is an integer number (447233647536).

Almost surely, 2^{114323201514000} is an apocalyptic number.

114323201514000 is a gapful number since it is divisible by the number (10) 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 114323201514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214672150817280).

114323201514000 is an abundant number, since it is smaller than the sum of its proper divisors (315021100120560).

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

114323201514000 is a wasteful number, since it uses less digits than its factorization.

114323201514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16385 (or 16366 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 114323201514000 its reverse (415102323411), we get a palindrome (114738303837411).

The spelling of 114323201514000 in words is "one hundred fourteen trillion, three hundred twenty-three billion, two hundred one million, five hundred fourteen thousand".