95418083904 has 448 divisors, whose sum is σ = 315472389120. Its totient is φ = 25021440000.

The previous prime is 95418083833. The next prime is 95418083911. The reversal of 95418083904 is 40938081459.

It is a super-3 number, since 3×95418083904³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 63 ways as a sum of consecutive naturals, for example, 52687159 + ... + 52688969.

It is an arithmetic number, because the mean of its divisors is an integer number (704179440).

Almost surely, 2^95418083904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95418083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157736194560).

95418083904 is an abundant number, since it is smaller than the sum of its proper divisors (220054305216).

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

95418083904 is a wasteful number, since it uses less digits than its factorization.

95418083904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 95418083904 in words is "ninety-five billion, four hundred eighteen million, eighty-three thousand, nine hundred four".