95036891414688 has 144 divisors (see below), whose sum is σ = 272182247719200. Its totient is φ = 31454317002240.

The previous prime is 95036891414687. The next prime is 95036891414723. The reversal of 95036891414688 is 88641419863059.

95036891414688 is a `hidden beast` number, since 9 + 5 + 0 + 3 + 68 + 91 + 414 + 68 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (95036891414687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32681383 + ... + 35470361.

It is an arithmetic number, because the mean of its divisors is an integer number (1890154498050).

Almost surely, 2^{95036891414688} 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 95036891414688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136091123859600).

95036891414688 is an abundant number, since it is smaller than the sum of its proper divisors (177145356304512).

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

95036891414688 is a wasteful number, since it uses less digits than its factorization.

95036891414688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789835 (or 2789824 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 95036891414688 in words is "ninety-five trillion, thirty-six billion, eight hundred ninety-one million, four hundred fourteen thousand, six hundred eighty-eight".