95745853170361 has 27 divisors (see below), whose sum is σ = 102080756596143. Its totient is φ = 89790899648400.

The previous prime is 95745853170353. The next prime is 95745853170379. The reversal of 95745853170361 is 16307135854759.

The square root of 95745853170361 is 9784981.

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

It can be written as a sum of positive squares in only one way, i.e., 91991481905961 + 3754371264400 = 9591219^2 + 1937620^2 .

It is not a de Polignac number, because 95745853170361 - 2³ = 95745853170353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 95745853170293 and 95745853170302.

It is not an unprimeable number, because it can be changed into a prime (95745853170301) 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, 18777375990 + ... + 18777381088.

Almost surely, 2^{95745853170361} is an apocalyptic number.

95745853170361 is the 9784981-st square number.

95745853170361 is the 4892491-st centered octagonal number.

It is an amenable number.

95745853170361 is a deficient number, since it is larger than the sum of its proper divisors (6334903425782).

95745853170361 is an frugal number, since it uses more digits than its factorization.

95745853170361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10438 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 64.

The spelling of 95745853170361 in words is "ninety-five trillion, seven hundred forty-five billion, eight hundred fifty-three million, one hundred seventy thousand, three hundred sixty-one".