11284387047648 has 1152 divisors, whose sum is σ = 40486689976320. Its totient is φ = 3053019340800.

The previous prime is 11284387047643. The next prime is 11284387047667. The reversal of 11284387047648 is 84674078348211.

11284387047648 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 43 + 87 + 0 + 476 + 48 = 666.

It is a super-2 number, since 2×11284387047648² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11284387047643) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 6024765240 + ... + 6024767112.

It is an arithmetic number, because the mean of its divisors is an integer number (35144696160).

Almost surely, 2^{11284387047648} is an apocalyptic number.

11284387047648 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 11284387047648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20243344988160).

11284387047648 is an abundant number, since it is smaller than the sum of its proper divisors (29202302928672).

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

11284387047648 is a wasteful number, since it uses less digits than its factorization.

11284387047648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 11284387047648 in words is "eleven trillion, two hundred eighty-four billion, three hundred eighty-seven million, forty-seven thousand, six hundred forty-eight".