11146626164017 has 8 divisors (see below), whose sum is σ = 11808499031136. Its totient is φ = 10485440960832.

The previous prime is 11146626163973. The next prime is 11146626164039. The reversal of 11146626164017 is 71046162664111.

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 11146626164017 - 2⁷ = 11146626163889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11146626864017) by changing a digit.

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, 171882603 + ... + 171947440.

It is an arithmetic number, because the mean of its divisors is an integer number (1476062378892).

Almost surely, 2^{11146626164017} is an apocalyptic number.

11146626164017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11146626164017 is a deficient number, since it is larger than the sum of its proper divisors (661872867119).

11146626164017 is a wasteful number, since it uses less digits than its factorization.

11146626164017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343831967.

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 11146626164017 in words is "eleven trillion, one hundred forty-six billion, six hundred twenty-six million, one hundred sixty-four thousand, seventeen".