1008933864849 has 27 divisors (see below), whose sum is σ = 1470856348507. Its totient is φ = 666445166016.

The previous prime is 1008933864811. The next prime is 1008933864863. The reversal of 1008933864849 is 9484683398001.

The square root of 1008933864849 is 1004457.

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., 17778222225 + 991155642624 = 133335^2 + 995568^2 .

It is not a de Polignac number, because 1008933864849 - 2¹⁷ = 1008933733777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1008933864349) 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, 340509442 + ... + 340512404.

Almost surely, 2^{1008933864849} is an apocalyptic number.

1008933864849 is the 1004457-th square number.

1008933864849 is the 502229-th centered octagonal number.

It is an amenable number.

1008933864849 is a deficient number, since it is larger than the sum of its proper divisors (461922483658).

1008933864849 is an frugal number, since it uses more digits than its factorization.

1008933864849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 1008933864849 in words is "one trillion, eight billion, nine hundred thirty-three million, eight hundred sixty-four thousand, eight hundred forty-nine".