95092673641 has 9 divisors (see below), whose sum is σ = 110620519191. Its totient is φ = 81506155752.

The previous prime is 95092673609. The next prime is 95092673699. The reversal of 95092673641 is 14637629059.

It is a happy number.

The square root of 95092673641 is 308371.

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., 69108523225 + 25984150416 = 262885^2 + 161196^2 .

It is not a de Polignac number, because 95092673641 - 2⁵ = 95092673609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (95092623641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2136571 + ... + 2180623.

It is an arithmetic number, because the mean of its divisors is an integer number (12291168799).

Almost surely, 2^95092673641 is an apocalyptic number.

95092673641 is the 308371-st square number.

95092673641 is the 154186-th centered octagonal number.

It is an amenable number.

95092673641 is a deficient number, since it is larger than the sum of its proper divisors (15527845550).

95092673641 is an frugal number, since it uses more digits than its factorization.

95092673641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88120 (or 44060 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 52.

The spelling of 95092673641 in words is "ninety-five billion, ninety-two million, six hundred seventy-three thousand, six hundred forty-one".