10962038944609 has 9 divisors (see below), whose sum is σ = 11144895827481. Its totient is φ = 10782134734320.

The previous prime is 10962038944601. The next prime is 10962038944729. The reversal of 10962038944609 is 90644983026901.

The square root of 10962038944609 is 3310897.

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 7684954230625 + 3277084713984 = 2772175^2 + 1810272^2 .

It is not a de Polignac number, because 10962038944609 - 2³ = 10962038944601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10962038944601) 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, 201937579 + ... + 201991855.

It is an arithmetic number, because the mean of its divisors is an integer number (1238321758609).

Almost surely, 2^{10962038944609} is an apocalyptic number.

10962038944609 is the 3310897-th square number.

10962038944609 is the 1655449-th centered octagonal number.

It is an amenable number.

10962038944609 is a deficient number, since it is larger than the sum of its proper divisors (182856882872).

10962038944609 is an frugal number, since it uses more digits than its factorization.

10962038944609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108676 (or 54338 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 61.

The spelling of 10962038944609 in words is "ten trillion, nine hundred sixty-two billion, thirty-eight million, nine hundred forty-four thousand, six hundred nine".