11285183536848 has 640 divisors, whose sum is σ = 37691347599360. Its totient is φ = 3204329103360.

The previous prime is 11285183536721. The next prime is 11285183536877. The reversal of 11285183536848 is 84863538158211.

It is a happy number.

11285183536848 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 5 + 18 + 3 + 536 + 84 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1349413915 + ... + 1349422277.

It is an arithmetic number, because the mean of its divisors is an integer number (58892730624).

Almost surely, 2^{11285183536848} is an apocalyptic number.

11285183536848 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 11285183536848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18845673799680).

11285183536848 is an abundant number, since it is smaller than the sum of its proper divisors (26406164062512).

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

11285183536848 is a wasteful number, since it uses less digits than its factorization.

11285183536848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8784 (or 8772 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 63.

The spelling of 11285183536848 in words is "eleven trillion, two hundred eighty-five billion, one hundred eighty-three million, five hundred thirty-six thousand, eight hundred forty-eight".