11849283072 has 320 divisors, whose sum is σ = 39597465600. Its totient is φ = 3465584640.

The previous prime is 11849283011. The next prime is 11849283151. The reversal of 11849283072 is 27038294811.

It is a happy number.

11849283072 is a `hidden beast` number, since 1 + 18 + 492 + 83 + 0 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4408513 + ... + 4411199.

It is an arithmetic number, because the mean of its divisors is an integer number (123742080).

Almost surely, 2^11849283072 is an apocalyptic number.

11849283072 is a gapful number since it is divisible by the number (12) 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 11849283072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19798732800).

11849283072 is an abundant number, since it is smaller than the sum of its proper divisors (27748182528).

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

11849283072 is a wasteful number, since it uses less digits than its factorization.

11849283072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11849283072 in words is "eleven billion, eight hundred forty-nine million, two hundred eighty-three thousand, seventy-two".