11166146304627 has 8 divisors (see below), whose sum is σ = 14889566162880. Its totient is φ = 7443411991400.

The previous prime is 11166146304613. The next prime is 11166146304641. The reversal of 11166146304627 is 72640364166111.

It is an interprime number because it is at equal distance from previous prime (11166146304613) and next prime (11166146304641).

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 11166146304627 - 2¹⁰ = 11166146303603 is a prime.

It is a super-3 number, since 3×11166146304627³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11166146304647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171348249 + ... + 171413402.

It is an arithmetic number, because the mean of its divisors is an integer number (1861195770360).

Almost surely, 2^{11166146304627} is an apocalyptic number.

11166146304627 is a deficient number, since it is larger than the sum of its proper divisors (3723419858253).

11166146304627 is a wasteful number, since it uses less digits than its factorization.

11166146304627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342772513.

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 11166146304627 in words is "eleven trillion, one hundred sixty-six billion, one hundred forty-six million, three hundred four thousand, six hundred twenty-seven".