11006465606325 has 72 divisors (see below), whose sum is σ = 22530621305088. Its totient is φ = 5031401869440.

The previous prime is 11006465606209. The next prime is 11006465606371. The reversal of 11006465606325 is 52360656460011.

11006465606325 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 4 + 6 + 5 + 6 + 0 + 632 + 5 = 666.

It is not a de Polignac number, because 11006465606325 - 2¹² = 11006465602229 is a prime.

It is a super-2 number, since 2×11006465606325² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99054499 + ... + 99165551.

It is an arithmetic number, because the mean of its divisors is an integer number (312925295904).

Almost surely, 2^{11006465606325} is an apocalyptic number.

11006465606325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11006465606325 is an abundant number, since it is smaller than the sum of its proper divisors (11524155698763).

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

11006465606325 is a wasteful number, since it uses less digits than its factorization.

11006465606325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174003 (or 173995 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 11006465606325 in words is "eleven trillion, six billion, four hundred sixty-five million, six hundred six thousand, three hundred twenty-five".