95481618001 has 27 divisors (see below), whose sum is σ = 122116135323. Its totient is φ = 74382720720.

The previous prime is 95481617999. The next prime is 95481618017. The reversal of 95481618001 is 10081618459.

The square root of 95481618001 is 309001.

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., 80074850625 + 15406767376 = 282975^2 + 124124^2 .

It is not a de Polignac number, because 95481618001 - 2¹ = 95481617999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (95481618301) 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, 23791071 + ... + 23795083.

Almost surely, 2^95481618001 is an apocalyptic number.

95481618001 is the 309001-st square number.

95481618001 is the 154501-st centered octagonal number.

It is an amenable number.

95481618001 is a deficient number, since it is larger than the sum of its proper divisors (26634517322).

95481618001 is an frugal number, since it uses more digits than its factorization.

95481618001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8062 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 43.

The spelling of 95481618001 in words is "ninety-five billion, four hundred eighty-one million, six hundred eighteen thousand, one".