11006465535405 has 48 divisors (see below), whose sum is σ = 19342616085936. Its totient is φ = 5788684016640.

The previous prime is 11006465535361. The next prime is 11006465535409. The reversal of 11006465535405 is 50453556460011.

11006465535405 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 46 + 553 + 54 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 997917085764 + 10008548449641 = 998958^2 + 3163629^2 .

It is not a de Polignac number, because 11006465535405 - 2⁶ = 11006465535341 is a prime.

It is a super-2 number, since 2×11006465535405² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006465535409) 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 47 ways as a sum of consecutive naturals, for example, 18567379 + ... + 19150991.

It is an arithmetic number, because the mean of its divisors is an integer number (402971168457).

Almost surely, 2^{11006465535405} is an apocalyptic number.

11006465535405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11006465535405 is a deficient number, since it is larger than the sum of its proper divisors (8336150550531).

11006465535405 is a wasteful number, since it uses less digits than its factorization.

11006465535405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589438 (or 589435 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 11006465535405 in words is "eleven trillion, six billion, four hundred sixty-five million, five hundred thirty-five thousand, four hundred five".