10812464289 has 81 divisors (see below), whose sum is σ = 18077682259. Its totient is φ = 6222342720.

The previous prime is 10812464263. The next prime is 10812464291. The reversal of 10812464289 is 98246421801.

The square root of 10812464289 is 103983.

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

10812464289 is a `hidden beast` number, since 108 + 1 + 2 + 464 + 2 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6351293025 + 4461171264 = 79695^2 + 66792^2 .

It is not a de Polignac number, because 10812464289 - 2¹⁵ = 10812431521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10812464989) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 78923029 + ... + 78923165.

Almost surely, 2^10812464289 is an apocalyptic number.

10812464289 is the 103983-rd square number.

10812464289 is the 51992-nd centered octagonal number.

It is an amenable number.

10812464289 is a deficient number, since it is larger than the sum of its proper divisors (7265217970).

10812464289 is a wasteful number, since it uses less digits than its factorization.

10812464289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10812464289 in words is "ten billion, eight hundred twelve million, four hundred sixty-four thousand, two hundred eighty-nine".