11821744078848 has 540 divisors, whose sum is σ = 38017196118720. Its totient is φ = 3536578805760.

The previous prime is 11821744078787. The next prime is 11821744078849. The reversal of 11821744078848 is 84887044712811.

It is a happy number.

11821744078848 is a `hidden beast` number, since 1 + 1 + 8 + 217 + 4 + 407 + 8 + 8 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11821744078849) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1409527711 + ... + 1409536097.

Almost surely, 2^{11821744078848} is an apocalyptic number.

11821744078848 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 11821744078848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19008598059360).

11821744078848 is an abundant number, since it is smaller than the sum of its proper divisors (26195452039872).

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

11821744078848 is an equidigital number, since it uses as much as digits as its factorization.

11821744078848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8522 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 25690112, while the sum is 63.

The spelling of 11821744078848 in words is "eleven trillion, eight hundred twenty-one billion, seven hundred forty-four million, seventy-eight thousand, eight hundred forty-eight".