11006465006166 has 16 divisors (see below), whose sum is σ = 25157634299904. Its totient is φ = 3144704287464.

The previous prime is 11006465006161. The next prime is 11006465006177. The reversal of 11006465006166 is 66160056460011.

It is a super-2 number, since 2×11006465006166² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 262058690623 = 11006465006166 / (1 + 1 + 0 + 0 + 6 + 4 + 6 + 5 + 0 + 0 + 6 + 1 + 6 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006465006161) 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, 131029345270 + ... + 131029345353.

It is an arithmetic number, because the mean of its divisors is an integer number (1572352143744).

Almost surely, 2^{11006465006166} is an apocalyptic number.

11006465006166 is an abundant number, since it is smaller than the sum of its proper divisors (14151169293738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11006465006166 is a wasteful number, since it uses less digits than its factorization.

11006465006166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262058690635.

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 11006465006166 in words is "eleven trillion, six billion, four hundred sixty-five million, six thousand, one hundred sixty-six".