95146309964208 has 160 divisors (see below), whose sum is σ = 260464884736000. Its totient is φ = 29844902304000.

The previous prime is 95146309964171. The next prime is 95146309964221. The reversal of 95146309964208 is 80246990364159.

It is a Cunningham number, because it is equal to 9754297²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2945781243 + ... + 2945813541.

It is an arithmetic number, because the mean of its divisors is an integer number (1627905529600).

Almost surely, 2^{95146309964208} 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 95146309964208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130232442368000).

95146309964208 is an abundant number, since it is smaller than the sum of its proper divisors (165318574771792).

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

95146309964208 is a wasteful number, since it uses less digits than its factorization.

95146309964208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53871 (or 53865 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 66.

The spelling of 95146309964208 in words is "ninety-five trillion, one hundred forty-six billion, three hundred nine million, nine hundred sixty-four thousand, two hundred eight".