618964641 has 9 divisors (see below), whose sum is σ = 894167859. Its totient is φ = 412593336.

The previous prime is 618964639. The next prime is 618964657. The reversal of 618964641 is 146469816.

The square root of 618964641 is 24879.

It is a perfect power (a square), and thus also a powerful number.

618964641 is a `hidden beast` number, since 6 + 189 + 6 + 464 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135140625 + 483824016 = 11625^2 + 21996^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 618964641 - 2¹ = 618964639 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (618964681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70491 + ... + 78783.

Almost surely, 2^618964641 is an apocalyptic number.

618964641 is the 24879-th square number.

618964641 is the 12440-th centered octagonal number.

It is an amenable number.

618964641 is a deficient number, since it is larger than the sum of its proper divisors (275203218).

618964641 is an frugal number, since it uses more digits than its factorization.

618964641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16592 (or 8296 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The cubic root of 618964641 is about 852.2269819430.

The spelling of 618964641 in words is "six hundred eighteen million, nine hundred sixty-four thousand, six hundred forty-one".