10355115211641 has 12 divisors (see below), whose sum is σ = 15361642386532. Its totient is φ = 6716831488416.

The previous prime is 10355115211633. The next prime is 10355115211643. The reversal of 10355115211641 is 14611251155301.

10355115211641 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 5 + 1 + 1 + 5 + 2 + 1 + 1 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3501374470416 + 6853740741225 = 1871196^2 + 2617965^2 .

It is not a de Polignac number, because 10355115211641 - 2³ = 10355115211633 is a prime.

It is a super-3 number, since 3×10355115211641³ (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 = 10355115211596 and 10355115211605.

It is not an unprimeable number, because it can be changed into a prime (10355115211643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15548220706 + ... + 15548221371.

Almost surely, 2^{10355115211641} is an apocalyptic number.

It is an amenable number.

10355115211641 is a deficient number, since it is larger than the sum of its proper divisors (5006527174891).

10355115211641 is a wasteful number, since it uses less digits than its factorization.

10355115211641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31096442120 (or 31096442117 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

Adding to 10355115211641 its reverse (14611251155301), we get a palindrome (24966366366942).

The spelling of 10355115211641 in words is "ten trillion, three hundred fifty-five billion, one hundred fifteen million, two hundred eleven thousand, six hundred forty-one".