11813056416 has 288 divisors, whose sum is σ = 41377512960. Its totient is φ = 3265920000.

The previous prime is 11813056403. The next prime is 11813056459. The reversal of 11813056416 is 61465031811.

It is a happy number.

11813056416 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 3 + 0 + 5 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1307916 + ... + 1316916.

It is an arithmetic number, because the mean of its divisors is an integer number (143671920).

Almost surely, 2^11813056416 is an apocalyptic number.

11813056416 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 11813056416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20688756480).

11813056416 is an abundant number, since it is smaller than the sum of its proper divisors (29564456544).

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

11813056416 is a wasteful number, since it uses less digits than its factorization.

11813056416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9065 (or 9044 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11813056416 in words is "eleven billion, eight hundred thirteen million, fifty-six thousand, four hundred sixteen".