11856441408 has 252 divisors, whose sum is σ = 38524568112. Its totient is φ = 3208343040.

The previous prime is 11856441397. The next prime is 11856441439. The reversal of 11856441408 is 80414465811.

It is a super-2 number, since 2×11856441408² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 11856441408.

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 35 ways as a sum of consecutive naturals, for example, 3394543 + ... + 3398033.

Almost surely, 2^11856441408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11856441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262284056).

11856441408 is an abundant number, since it is smaller than the sum of its proper divisors (26668126704).

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

11856441408 is a wasteful number, since it uses less digits than its factorization.

11856441408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 11856441408 in words is "eleven billion, eight hundred fifty-six million, four hundred forty-one thousand, four hundred eight".