11140649808048 has 120 divisors (see below), whose sum is σ = 31718869525616. Its totient is φ = 3649433356800.

The previous prime is 11140649808037. The next prime is 11140649808103. The reversal of 11140649808048 is 84080894604111.

11140649808048 is a `hidden beast` number, since 1 + 1 + 1 + 406 + 49 + 80 + 80 + 48 = 666.

It is a super-2 number, since 2×11140649808048² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11140649807985 and 11140649808003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2690418 + ... + 5433198.

Almost surely, 2^{11140649808048} is an apocalyptic number.

11140649808048 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 11140649808048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15859434762808).

11140649808048 is an abundant number, since it is smaller than the sum of its proper divisors (20578219717568).

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

11140649808048 is a wasteful number, since it uses less digits than its factorization.

11140649808048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743283 (or 2743274 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 11140649808048 in words is "eleven trillion, one hundred forty billion, six hundred forty-nine million, eight hundred eight thousand, forty-eight".