11844873675648 has 256 divisors, whose sum is σ = 37682632915200. Its totient is φ = 3641220864000.

The previous prime is 11844873675623. The next prime is 11844873675673. The reversal of 11844873675648 is 84657637844811.

It is a happy number.

11844873675648 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 487 + 36 + 75 + 6 + 48 = 666.

11844873675648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11844873675623) and next prime (11844873675673).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 48895623 + ... + 49137273.

It is an arithmetic number, because the mean of its divisors is an integer number (147197784825).

Almost surely, 2^{11844873675648} is an apocalyptic number.

11844873675648 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 11844873675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18841316457600).

11844873675648 is an abundant number, since it is smaller than the sum of its proper divisors (25837759239552).

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

11844873675648 is a wasteful number, since it uses less digits than its factorization.

11844873675648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242778 (or 242760 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 11844873675648 in words is "eleven trillion, eight hundred forty-four billion, eight hundred seventy-three million, six hundred seventy-five thousand, six hundred forty-eight".