114065124324030 has 192 divisors, whose sum is σ = 327707803807488. Its totient is φ = 27296915258880.

The previous prime is 114065124324029. The next prime is 114065124324031. The reversal of 114065124324030 is 30423421560411.

114065124324030 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 6 + 5 + 1 + 243 + 2 + 403 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114065124324029) and next prime (114065124324031).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114065124324031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28075722 + ... + 31880658.

It is an arithmetic number, because the mean of its divisors is an integer number (1706811478164).

Almost surely, 2^{114065124324030} is an apocalyptic number.

114065124324030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114065124324030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163853901903744).

114065124324030 is an abundant number, since it is smaller than the sum of its proper divisors (213642679483458).

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

114065124324030 is a wasteful number, since it uses less digits than its factorization.

114065124324030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805351 (or 3805348 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 114065124324030 its reverse (30423421560411), we get a palindrome (144488545884441).

The spelling of 114065124324030 in words is "one hundred fourteen trillion, sixty-five billion, one hundred twenty-four million, three hundred twenty-four thousand, thirty".