964121718609 has 27 divisors (see below), whose sum is σ = 1620021480987. Its totient is φ = 550914913584.

The previous prime is 964121718601. The next prime is 964121718649. The reversal of 964121718609 is 906817121469.

The square root of 964121718609 is 981897.

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

964121718609 is a `hidden beast` number, since 9 + 6 + 4 + 1 + 2 + 17 + 18 + 609 = 666.

964121718609 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 886488156225 + 77633562384 = 941535^2 + 278628^2 .

It is not a de Polignac number, because 964121718609 - 2³ = 964121718601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (964121718601) 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, 20596459 + ... + 20643215.

Almost surely, 2^964121718609 is an apocalyptic number.

964121718609 is the 981897-th square number.

964121718609 is the 490949-th centered octagonal number.

It is an amenable number.

964121718609 is a deficient number, since it is larger than the sum of its proper divisors (655899762378).

964121718609 is an frugal number, since it uses more digits than its factorization.

964121718609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93534 (or 46767 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 964121718609 in words is "nine hundred sixty-four billion, one hundred twenty-one million, seven hundred eighteen thousand, six hundred nine".