11084956416 has 108 divisors (see below), whose sum is σ = 32365758880. Its totient is φ = 3648153600.

The previous prime is 11084956381. The next prime is 11084956453. The reversal of 11084956416 is 61465948011.

11084956416 is a `hidden beast` number, since 1 + 1 + 0 + 84 + 9 + 564 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151566 + ... + 212466.

Almost surely, 2^11084956416 is an apocalyptic number.

11084956416 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 11084956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182879440).

11084956416 is an abundant number, since it is smaller than the sum of its proper divisors (21280802464).

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

11084956416 is an equidigital number, since it uses as much as digits as its factorization.

11084956416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61002 (or 60985 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11084956416 in words is "eleven billion, eighty-four million, nine hundred fifty-six thousand, four hundred sixteen".