11002848000 has 144 divisors (see below), whose sum is σ = 36546278496. Its totient is φ = 2934067200.

The previous prime is 11002847987. The next prime is 11002848007. The reversal of 11002848000 is 84820011.

It is a super-2 number, since 2×11002848000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11002848007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38694 + ... + 153306.

Almost surely, 2^11002848000 is an apocalyptic number.

11002848000 is a gapful number since it is divisible by the number (10) 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 11002848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18273139248).

11002848000 is an abundant number, since it is smaller than the sum of its proper divisors (25543430496).

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

11002848000 is an equidigital number, since it uses as much as digits as its factorization.

11002848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114647 (or 114623 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 11002848000 in words is "eleven billion, two million, eight hundred forty-eight thousand".