10541383830688 has 48 divisors (see below), whose sum is σ = 20820142556136. Its totient is φ = 5253743738880.

The previous prime is 10541383830629. The next prime is 10541383830763. The reversal of 10541383830688 is 88603838314501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7691459129104 + 2849924701584 = 2773348^2 + 1688172^2 .

It is a super-2 number, since 2×10541383830688² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22120368 + ... + 22591888.

Almost surely, 2^{10541383830688} is an apocalyptic number.

It is an amenable number.

10541383830688 is a deficient number, since it is larger than the sum of its proper divisors (10278758725448).

10541383830688 is a wasteful number, since it uses less digits than its factorization.

10541383830688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473777 (or 473769 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 58.

The spelling of 10541383830688 in words is "ten trillion, five hundred forty-one billion, three hundred eighty-three million, eight hundred thirty thousand, six hundred eighty-eight".