11185302656 has 64 divisors (see below), whose sum is σ = 24331773600. Its totient is φ = 5079459840.

The previous prime is 11185302629. The next prime is 11185302731. The reversal of 11185302656 is 65620358111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11185302656² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1811831 + ... + 1817993.

Almost surely, 2^11185302656 is an apocalyptic number.

11185302656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11185302656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12165886800).

11185302656 is an abundant number, since it is smaller than the sum of its proper divisors (13146470944).

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

11185302656 is a wasteful number, since it uses less digits than its factorization.

11185302656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477 (or 7465 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 11185302656 in words is "eleven billion, one hundred eighty-five million, three hundred two thousand, six hundred fifty-six".