964730590849 has 9 divisors (see below), whose sum is σ = 977175545283. Its totient is φ = 952442199072.

The previous prime is 964730590823. The next prime is 964730590903. The reversal of 964730590849 is 948095037469.

The square root of 964730590849 is 982207.

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., 126099561025 + 838631029824 = 355105^2 + 915768^2 .

It is not a de Polignac number, because 964730590849 - 2³⁷ = 827291637377 is a prime.

It is a super-2 number, since 2×964730590849² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (964730591849) 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, 77588137 + ... + 77600569.

It is an arithmetic number, because the mean of its divisors is an integer number (108575060587).

Almost surely, 2^964730590849 is an apocalyptic number.

964730590849 is the 982207-th square number.

964730590849 is the 491104-th centered octagonal number.

It is an amenable number.

964730590849 is a deficient number, since it is larger than the sum of its proper divisors (12444954434).

964730590849 is an frugal number, since it uses more digits than its factorization.

964730590849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25024 (or 12512 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

Multiplying 964730590849 by its sum of digits (64), we get a square (61742757814336 = 7857656²).

The spelling of 964730590849 in words is "nine hundred sixty-four billion, seven hundred thirty million, five hundred ninety thousand, eight hundred forty-nine".