95179516488001 has 9 divisors (see below), whose sum is σ = 104618925338403. Its totient is φ = 86526735610920.

The previous prime is 95179516487999. The next prime is 95179516488029. The reversal of 95179516488001 is 10088461597159.

The square root of 95179516488001 is 9755999.

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., 55874892452401 + 39304624035600 = 7474951^2 + 6269340^2 .

It is not a de Polignac number, because 95179516488001 - 2¹ = 95179516487999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95179516428001) 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, 106872535 + ... + 107759443.

Almost surely, 2^{95179516488001} is an apocalyptic number.

95179516488001 is the 9755999-th square number.

95179516488001 is the 4878000-th centered octagonal number.

It is an amenable number.

95179516488001 is a deficient number, since it is larger than the sum of its proper divisors (9439408850402).

95179516488001 is an frugal number, since it uses more digits than its factorization.

95179516488001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773840 (or 886920 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 64.

The spelling of 95179516488001 in words is "ninety-five trillion, one hundred seventy-nine billion, five hundred sixteen million, four hundred eighty-eight thousand, one".