11088646848 has 224 divisors, whose sum is σ = 36334598400. Its totient is φ = 3295531008.

The previous prime is 11088646837. The next prime is 11088646871. The reversal of 11088646848 is 84864688011.

It is a happy number.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 11088646794 and 11088646803.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548211 + ... + 568077.

Almost surely, 2^11088646848 is an apocalyptic number.

11088646848 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 11088646848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18167299200).

11088646848 is an abundant number, since it is smaller than the sum of its proper divisors (25245951552).

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

11088646848 is a wasteful number, since it uses less digits than its factorization.

11088646848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19924 (or 19908 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 11088646848 in words is "eleven billion, eighty-eight million, six hundred forty-six thousand, eight hundred forty-eight".