395149274881 has 27 divisors (see below), whose sum is σ = 425059561731. Its totient is φ = 367268579904.

The previous prime is 395149274869. The next prime is 395149274929. The reversal of 395149274881 is 188472941593.

The square root of 395149274881 is 628609.

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., 307642169025 + 87507105856 = 554655^2 + 295816^2 .

It is not a de Polignac number, because 395149274881 - 2²¹ = 395147177729 is a prime.

It is a super-2 number, since 2×395149274881² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (395149274801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1100694180 + ... + 1100694538.

Almost surely, 2^395149274881 is an apocalyptic number.

395149274881 is the 628609-th square number.

395149274881 is the 314305-th centered octagonal number.

It is an amenable number.

395149274881 is a deficient number, since it is larger than the sum of its proper divisors (29910286850).

395149274881 is an frugal number, since it uses more digits than its factorization.

395149274881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 479 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 61.

The spelling of 395149274881 in words is "three hundred ninety-five billion, one hundred forty-nine million, two hundred seventy-four thousand, eight hundred eighty-one".