11440851810048 has 864 divisors, whose sum is σ = 37563266280960. Its totient is φ = 3422180966400.

The previous prime is 11440851810029. The next prime is 11440851810083. The reversal of 11440851810048 is 84001815804411.

11440851810048 is a `hidden beast` number, since 11 + 440 + 8 + 51 + 8 + 100 + 48 = 666.

11440851810048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 11440851809985 and 11440851810012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8017414711 + ... + 8017416137.

It is an arithmetic number, because the mean of its divisors is an integer number (43476002640).

Almost surely, 2^{11440851810048} is an apocalyptic number.

11440851810048 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 11440851810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18781633140480).

11440851810048 is an abundant number, since it is smaller than the sum of its proper divisors (26122414470912).

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

11440851810048 is a wasteful number, since it uses less digits than its factorization.

11440851810048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 11440851810048 in words is "eleven trillion, four hundred forty billion, eight hundred fifty-one million, eight hundred ten thousand, forty-eight".