11185449408 has 392 divisors, whose sum is σ = 39377904480. Its totient is φ = 3083028480.

The previous prime is 11185449389. The next prime is 11185449409. The reversal of 11185449408 is 80494458111.

11185449408 is a `hidden beast` number, since 1 + 1 + 18 + 544 + 94 + 0 + 8 = 666.

It is a super-2 number, since 2×11185449408² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11185449409) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9470578 + ... + 9471758.

Almost surely, 2^11185449408 is an apocalyptic number.

11185449408 is a gapful number since it is divisible by the number (18) 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 11185449408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19688952240).

11185449408 is an abundant number, since it is smaller than the sum of its proper divisors (28192455072).

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

11185449408 is an equidigital number, since it uses as much as digits as its factorization.

11185449408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 11185449408 in words is "eleven billion, one hundred eighty-five million, four hundred forty-nine thousand, four hundred eight".