95398123634688 has 512 divisors, whose sum is σ = 305242694553600. Its totient is φ = 25910888103936.

The previous prime is 95398123634687. The next prime is 95398123634717. The reversal of 95398123634688 is 88643632189359.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95398123634687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2579773383 + ... + 2579810361.

It is an arithmetic number, because the mean of its divisors is an integer number (596177137800).

Almost surely, 2^{95398123634688} 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 95398123634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152621347276800).

95398123634688 is an abundant number, since it is smaller than the sum of its proper divisors (209844570918912).

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

95398123634688 is a wasteful number, since it uses less digits than its factorization.

95398123634688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37205 (or 37177 counting only the distinct ones).

The product of its digits is 1612431360, while the sum is 75.

The spelling of 95398123634688 in words is "ninety-five trillion, three hundred ninety-eight billion, one hundred twenty-three million, six hundred thirty-four thousand, six hundred eighty-eight".