11145066075 has 384 divisors, whose sum is σ = 25998336000. Its totient is φ = 4600281600.

The previous prime is 11145066019. The next prime is 11145066103. The reversal of 11145066075 is 57066054111.

It is a happy number.

11145066075 is a `hidden beast` number, since 1 + 1 + 1 + 45 + 0 + 6 + 607 + 5 = 666.

Together with 14853269924 it forms a betrothed pair.

It is not a de Polignac number, because 11145066075 - 2¹⁰ = 11145065051 is a prime.

It is a super-2 number, since 2×11145066075² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 108204474 + ... + 108204576.

It is an arithmetic number, because the mean of its divisors is an integer number (67704000).

Almost surely, 2^11145066075 is an apocalyptic number.

11145066075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11145066075 is the 56430-th nonagonal number.

11145066075 is an abundant number, since it is smaller than the sum of its proper divisors (14853269925).

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

11145066075 is a wasteful number, since it uses less digits than its factorization.

11145066075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 11145066075 in words is "eleven billion, one hundred forty-five million, sixty-six thousand, seventy-five".