11175856848 has 640 divisors, whose sum is σ = 39522470400. Its totient is φ = 2985984000.

The previous prime is 11175856807. The next prime is 11175856849. The reversal of 11175856848 is 84865857111.

11175856848 is a `hidden beast` number, since 1 + 1 + 1 + 75 + 8 + 568 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11175856794 and 11175856803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11175856849) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110651998 + ... + 110652098.

It is an arithmetic number, because the mean of its divisors is an integer number (61753860).

Almost surely, 2^11175856848 is an apocalyptic number.

11175856848 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 11175856848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19761235200).

11175856848 is an abundant number, since it is smaller than the sum of its proper divisors (28346613552).

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

11175856848 is a wasteful number, since it uses less digits than its factorization.

11175856848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 54.

The spelling of 11175856848 in words is "eleven billion, one hundred seventy-five million, eight hundred fifty-six thousand, eight hundred forty-eight".