95168134363456 has 1512 divisors, whose sum is σ = 267539313178368. Its totient is φ = 33418983628800.

The previous prime is 95168134363427. The next prime is 95168134363493. The reversal of 95168134363456 is 65436343186159.

It is a Harshad number since it is a multiple of its sum of digits (64).

Its product of digits (167961600) is a multiple of the sum of its prime divisors (450).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 309993922855 + ... + 309993923161.

Almost surely, 2^{95168134363456} 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 95168134363456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133769656589184).

95168134363456 is an abundant number, since it is smaller than the sum of its proper divisors (172371178814912).

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

95168134363456 is a wasteful number, since it uses less digits than its factorization.

95168134363456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 450 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 64.

The spelling of 95168134363456 in words is "ninety-five trillion, one hundred sixty-eight billion, one hundred thirty-four million, three hundred sixty-three thousand, four hundred fifty-six".