10335472703689 has 27 divisors (see below), whose sum is σ = 12224848282101. Its totient is φ = 8712590120640.

The previous prime is 10335472703641. The next prime is 10335472703749. The reversal of 10335472703689 is 98630727453301.

The square root of 10335472703689 is 3214883.

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

10335472703689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5079916453689 + 5255556250000 = 2253867^2 + 2292500^2 .

It is not a de Polignac number, because 10335472703689 - 2¹⁵ = 10335472670921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10335472703189) 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, 1372751277 + ... + 1372758805.

It is a 1-persistent number, because it is pandigital, but 2⋅10335472703689 = 20670945407378 is not.

Almost surely, 2^{10335472703689} is an apocalyptic number.

10335472703689 is the 3214883-rd square number.

10335472703689 is the 1607442-nd centered octagonal number.

It is an amenable number.

10335472703689 is a deficient number, since it is larger than the sum of its proper divisors (1889375578412).

10335472703689 is an frugal number, since it uses more digits than its factorization.

10335472703689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15194 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 58.

The spelling of 10335472703689 in words is "ten trillion, three hundred thirty-five billion, four hundred seventy-two million, seven hundred three thousand, six hundred eighty-nine".