964329892009 has 9 divisors (see below), whose sum is σ = 1059977787799. Its totient is φ = 876653718160.

The previous prime is 964329891991. The next prime is 964329892061. The reversal of 964329892009 is 900298923469.

The square root of 964329892009 is 982003.

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., 498485421225 + 465844470784 = 706035^2 + 682528^2 .

It is not a de Polignac number, because 964329892009 - 2¹⁷ = 964329760937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (964329092009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10757397 + ... + 10846669.

Almost surely, 2^964329892009 is an apocalyptic number.

964329892009 is the 982003-rd square number.

964329892009 is the 491002-nd centered octagonal number.

It is an amenable number.

964329892009 is a deficient number, since it is larger than the sum of its proper divisors (95647895790).

964329892009 is an frugal number, since it uses more digits than its factorization.

964329892009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178568 (or 89284 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 61.

The spelling of 964329892009 in words is "nine hundred sixty-four billion, three hundred twenty-nine million, eight hundred ninety-two thousand, nine".