114203872530 has 288 divisors, whose sum is σ = 340255244160. Its totient is φ = 26350894080.

The previous prime is 114203872529. The next prime is 114203872561. The reversal of 114203872530 is 35278302411.

114203872530 is a `hidden beast` number, since 1 + 1 + 4 + 20 + 38 + 72 + 530 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60778131 + ... + 60780009.

It is an arithmetic number, because the mean of its divisors is an integer number (1181441820).

Almost surely, 2^114203872530 is an apocalyptic number.

114203872530 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 114203872530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170127622080).

114203872530 is an abundant number, since it is smaller than the sum of its proper divisors (226051371630).

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

114203872530 is a wasteful number, since it uses less digits than its factorization.

114203872530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 114203872530 in words is "one hundred fourteen billion, two hundred three million, eight hundred seventy-two thousand, five hundred thirty".