114120304542 has 256 divisors, whose sum is σ = 281652940800. Its totient is φ = 34119429120.

The previous prime is 114120304517. The next prime is 114120304567. The reversal of 114120304542 is 245403021411.

114120304542 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 203 + 0 + 454 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (114120304517) and next prime (114120304567).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 389488948 + ... + 389489240.

It is an arithmetic number, because the mean of its divisors is an integer number (1100206800).

Almost surely, 2^114120304542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114120304542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140826470400).

114120304542 is an abundant number, since it is smaller than the sum of its proper divisors (167532636258).

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

114120304542 is a wasteful number, since it uses less digits than its factorization.

114120304542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 114120304542 its reverse (245403021411), we get a palindrome (359523325953).

The spelling of 114120304542 in words is "one hundred fourteen billion, one hundred twenty million, three hundred four thousand, five hundred forty-two".