11006511214545 has 96 divisors (see below), whose sum is σ = 23792077430784. Its totient is φ = 4572869558400.

The previous prime is 11006511214529. The next prime is 11006511214549. The reversal of 11006511214545 is 54541211560011.

11006511214545 is a `hidden beast` number, since 1 + 100 + 6 + 5 + 1 + 1 + 2 + 1 + 4 + 545 = 666.

It is not a de Polignac number, because 11006511214545 - 2⁴ = 11006511214529 is a prime.

It is a super-2 number, since 2×11006511214545² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006511214549) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12144004 + ... + 13018826.

It is an arithmetic number, because the mean of its divisors is an integer number (247834139904).

Almost surely, 2^{11006511214545} is an apocalyptic number.

11006511214545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11006511214545 is an abundant number, since it is smaller than the sum of its proper divisors (12785566216239).

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

11006511214545 is a wasteful number, since it uses less digits than its factorization.

11006511214545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878483 (or 878480 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

Adding to 11006511214545 its reverse (54541211560011), we get a palindrome (65547722774556).

The spelling of 11006511214545 in words is "eleven trillion, six billion, five hundred eleven million, two hundred fourteen thousand, five hundred forty-five".