185414115930 has 96 divisors (see below), whose sum is σ = 455433710400. Its totient is φ = 48309803520.

The previous prime is 185414115881. The next prime is 185414115941. The reversal of 185414115930 is 39511414581.

185414115930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×185414115930² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 45790546 + ... + 45794594.

It is an arithmetic number, because the mean of its divisors is an integer number (4744101150).

Almost surely, 2^185414115930 is an apocalyptic number.

185414115930 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 185414115930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227716855200).

185414115930 is an abundant number, since it is smaller than the sum of its proper divisors (270019594470).

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

185414115930 is a wasteful number, since it uses less digits than its factorization.

185414115930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 185414115930 in words is "one hundred eighty-five billion, four hundred fourteen million, one hundred fifteen thousand, nine hundred thirty".