95396418217881 has 27 divisors (see below), whose sum is σ = 151460940663487. Its totient is φ = 57815815698960.

The previous prime is 95396418217843. The next prime is 95396418217883. The reversal of 95396418217881 is 18871281469359.

It is a happy number.

The square root of 95396418217881 is 9767109.

It is a perfect power (a square), and thus also a powerful number.

95396418217881 is a `hidden beast` number, since 9 + 5 + 39 + 6 + 418 + 2 + 178 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92569702329225 + 2826715888656 = 9621315^2 + 1681284^2 .

It is not a de Polignac number, because 95396418217881 - 2³⁷ = 95258979264409 is a prime.

It is a super-2 number, since 2×95396418217881² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95396418217883) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 322166611 + ... + 322462583.

Almost surely, 2^{95396418217881} is an apocalyptic number.

95396418217881 is the 9767109-th square number.

95396418217881 is the 4883555-th centered octagonal number.

It is an amenable number.

95396418217881 is a deficient number, since it is larger than the sum of its proper divisors (56064522445606).

95396418217881 is an frugal number, since it uses more digits than its factorization.

95396418217881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591974 (or 295987 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 72.

The spelling of 95396418217881 in words is "ninety-five trillion, three hundred ninety-six billion, four hundred eighteen million, two hundred seventeen thousand, eight hundred eighty-one".