983466906601 has 9 divisors (see below), whose sum is σ = 989110972503. Its totient is φ = 977854881960.

The previous prime is 983466906589. The next prime is 983466906623. The reversal of 983466906601 is 106609664389.

The square root of 983466906601 is 991699.

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., 10837018201 + 972629888400 = 104101^2 + 986220^2 .

It is not a de Polignac number, because 983466906601 - 2⁷ = 983466906473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (983466906671) 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, 179494780 + ... + 179500258.

It is an arithmetic number, because the mean of its divisors is an integer number (109901219167).

Almost surely, 2^983466906601 is an apocalyptic number.

983466906601 is the 991699-th square number.

983466906601 is the 495850-th centered octagonal number.

It is an amenable number.

983466906601 is a deficient number, since it is larger than the sum of its proper divisors (5644065902).

983466906601 is an frugal number, since it uses more digits than its factorization.

983466906601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11320 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 58.

The spelling of 983466906601 in words is "nine hundred eighty-three billion, four hundred sixty-six million, nine hundred six thousand, six hundred one".