95050184814 has 384 divisors, whose sum is σ = 258138316800. Its totient is φ = 24942919680.

The previous prime is 95050184809. The next prime is 95050184819. The reversal of 95050184814 is 41848105059.

It is a happy number.

95050184814 is a `hidden beast` number, since 9 + 50 + 501 + 84 + 8 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (95050184809) and next prime (95050184819).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 95050184814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95050184819) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 264763567 + ... + 264763925.

It is an arithmetic number, because the mean of its divisors is an integer number (672235200).

Almost surely, 2^95050184814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95050184814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129069158400).

95050184814 is an abundant number, since it is smaller than the sum of its proper divisors (163088131986).

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

95050184814 is a wasteful number, since it uses less digits than its factorization.

95050184814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 95050184814 in words is "ninety-five billion, fifty million, one hundred eighty-four thousand, eight hundred fourteen".