95256576114912 has 144 divisors (see below), whose sum is σ = 285161050661760. Its totient is φ = 30079124050176.

The previous prime is 95256576114901. The next prime is 95256576114943. The reversal of 95256576114912 is 21941167565259.

95256576114912 is a `hidden beast` number, since 9 + 5 + 2 + 5 + 6 + 5 + 7 + 611 + 4 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 95256576114912.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 87376893 + ... + 88460355.

It is an arithmetic number, because the mean of its divisors is an integer number (1980285074040).

Almost surely, 2^{95256576114912} 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 95256576114912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142580525330880).

95256576114912 is an abundant number, since it is smaller than the sum of its proper divisors (189904474546848).

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

95256576114912 is a wasteful number, since it uses less digits than its factorization.

95256576114912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099565 (or 1099554 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 63.

The spelling of 95256576114912 in words is "ninety-five trillion, two hundred fifty-six billion, five hundred seventy-six million, one hundred fourteen thousand, nine hundred twelve".