10545505910641 has 8 divisors (see below), whose sum is σ = 11369648170664. Its totient is φ = 9723213578880.

The previous prime is 10545505910603. The next prime is 10545505910647. The reversal of 10545505910641 is 14601950554501.

10545505910641 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 1014208112241 + 9531297798400 = 1007079^2 + 3087280^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10545505910641 - 2¹⁷ = 10545505779569 is a prime.

It is a super-3 number, since 3×10545505910641³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10545505910591 and 10545505910600.

It is not an unprimeable number, because it can be changed into a prime (10545505910647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462470220 + ... + 462493021.

It is an arithmetic number, because the mean of its divisors is an integer number (1421206021333).

Almost surely, 2^{10545505910641} is an apocalyptic number.

It is an amenable number.

10545505910641 is a deficient number, since it is larger than the sum of its proper divisors (824142260023).

10545505910641 is an equidigital number, since it uses as much as digits as its factorization.

10545505910641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924964131.

The product of its (nonzero) digits is 540000, while the sum is 46.

The spelling of 10545505910641 in words is "ten trillion, five hundred forty-five billion, five hundred five million, nine hundred ten thousand, six hundred forty-one".