11084356656 has 160 divisors (see below), whose sum is σ = 32155481600. Its totient is φ = 3655653120.

The previous prime is 11084356651. The next prime is 11084356663. The reversal of 11084356656 is 65665348011.

11084356656 is a `hidden beast` number, since 1 + 1 + 0 + 84 + 3 + 566 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (11084356651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25248885 + ... + 25249323.

It is an arithmetic number, because the mean of its divisors is an integer number (200971760).

Almost surely, 2^11084356656 is an apocalyptic number.

11084356656 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 11084356656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16077740800).

11084356656 is an abundant number, since it is smaller than the sum of its proper divisors (21071124944).

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

11084356656 is a wasteful number, since it uses less digits than its factorization.

11084356656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 11084356656 in words is "eleven billion, eighty-four million, three hundred fifty-six thousand, six hundred fifty-six".