394414555576129 has 27 divisors (see below), whose sum is σ = 435324661957507. Its totient is φ = 357080516540000.

The previous prime is 394414555576049. The next prime is 394414555576147. The reversal of 394414555576129 is 921675555414493.

The square root of 394414555576129 is 19859873.

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., 24288978708225 + 370125576867904 = 4928385^2 + 19238648^2 .

It is not a de Polignac number, because 394414555576129 - 2⁹ = 394414555575617 is a prime.

It is a super-2 number, since 2×394414555576129² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (394414555576159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54833105757 + ... + 54833112949.

Almost surely, 2^{394414555576129} is an apocalyptic number.

394414555576129 is the 19859873-rd square number.

394414555576129 is the 9929937-th centered octagonal number.

It is an amenable number.

394414555576129 is a deficient number, since it is larger than the sum of its proper divisors (40910106381378).

394414555576129 is an frugal number, since it uses more digits than its factorization.

394414555576129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14910 (or 7455 counting only the distinct ones).

The product of its digits is 816480000, while the sum is 70.

The spelling of 394414555576129 in words is "three hundred ninety-four trillion, four hundred fourteen billion, five hundred fifty-five million, five hundred seventy-six thousand, one hundred twenty-nine".