95892218312 has 108 divisors (see below), whose sum is σ = 203872674915. Its totient is φ = 42251679360.

The previous prime is 95892218311. The next prime is 95892218339. The reversal of 95892218312 is 21381229859.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 41170844836 + 54721373476 = 202906^2 + 233926^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=218966.

Its product of digits (622080) is a multiple of the sum of its prime factors (640).

It is not an unprimeable number, because it can be changed into a prime (95892218311) 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, 356476514 + ... + 356476782.

Almost surely, 2^95892218312 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 95892218312

95892218312 is an abundant number, since it is smaller than the sum of its proper divisors (107980456603).

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

95892218312 is a wasteful number, since it uses less digits than its factorization.

95892218312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 319 counting only the distinct ones).

The product of its digits is 622080, while the sum is 50.

Multiplying 95892218312 by its sum of digits (50), we get a square (4794610915600 = 2189660²).

The spelling of 95892218312 in words is "ninety-five billion, eight hundred ninety-two million, two hundred eighteen thousand, three hundred twelve".