11357303647105 has 16 divisors (see below), whose sum is σ = 15183238830480. Its totient is φ = 8097727373568.

The previous prime is 11357303647069. The next prime is 11357303647117. The reversal of 11357303647105 is 50174630375311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1367664758784 + 9989638888321 = 1169472^2 + 3160639^2 .

It is a cyclic number.

It is not a de Polignac number, because 11357303647105 - 2⁹ = 11357303646593 is a prime.

It is a super-2 number, since 2×11357303647105² (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3012545502 + ... + 3012549271.

It is an arithmetic number, because the mean of its divisors is an integer number (948952426905).

Almost surely, 2^{11357303647105} is an apocalyptic number.

It is an amenable number.

11357303647105 is a deficient number, since it is larger than the sum of its proper divisors (3825935183375).

11357303647105 is a wasteful number, since it uses less digits than its factorization.

11357303647105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6025094820.

The product of its (nonzero) digits is 793800, while the sum is 46.

The spelling of 11357303647105 in words is "eleven trillion, three hundred fifty-seven billion, three hundred three million, six hundred forty-seven thousand, one hundred five".