10633814468209 has 9 divisors (see below), whose sum is σ = 10732626172737. Its totient is φ = 10535904354384.

The previous prime is 10633814468203. The next prime is 10633814468219. The reversal of 10633814468209 is 90286441833601.

The square root of 10633814468209 is 3260953.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4267922151025 + 6365892317184 = 2065895^2 + 2523072^2 .

It is not a de Polignac number, because 10633814468209 - 2³³ = 10625224533617 is a prime.

It is a super-2 number, since 2×10633814468209² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10633814468209.

It is not an unprimeable number, because it can be changed into a prime (10633814468203) 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, 355428919 + ... + 355458835.

It is an arithmetic number, because the mean of its divisors is an integer number (1192514019193).

Almost surely, 2^{10633814468209} is an apocalyptic number.

10633814468209 is the 3260953-rd square number.

10633814468209 is the 1630477-th centered octagonal number.

It is an amenable number.

10633814468209 is a deficient number, since it is larger than the sum of its proper divisors (98811704528).

10633814468209 is an frugal number, since it uses more digits than its factorization.

10633814468209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60052 (or 30026 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 10633814468209 in words is "ten trillion, six hundred thirty-three billion, eight hundred fourteen million, four hundred sixty-eight thousand, two hundred nine".