11802848256 has 308 divisors, whose sum is σ = 35959026712. Its totient is φ = 3869835264.

The previous prime is 11802848219. The next prime is 11802848273. The reversal of 11802848256 is 65284820811.

11802848256 is a `hidden beast` number, since 118 + 0 + 2 + 8 + 482 + 56 = 666.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 72410031 + ... + 72410193.

Almost surely, 2^11802848256 is an apocalyptic number.

11802848256 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 11802848256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17979513356).

11802848256 is an abundant number, since it is smaller than the sum of its proper divisors (24156178456).

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

11802848256 is an frugal number, since it uses more digits than its factorization.

11802848256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 11802848256 in words is "eleven billion, eight hundred two million, eight hundred forty-eight thousand, two hundred fifty-six".