11148873120 has 288 divisors, whose sum is σ = 47433859200. Its totient is φ = 2316625920.

The previous prime is 11148873107. The next prime is 11148873121. The reversal of 11148873120 is 2137884111.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11148873121) 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 47 ways as a sum of consecutive naturals, for example, 60606 + ... + 161154.

It is an arithmetic number, because the mean of its divisors is an integer number (164700900).

Almost surely, 2^11148873120 is an apocalyptic number.

11148873120 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 11148873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716929600).

11148873120 is an abundant number, since it is smaller than the sum of its proper divisors (36284986080).

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

11148873120 is a wasteful number, since it uses less digits than its factorization.

11148873120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100588 (or 100577 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 11148873120 in words is "eleven billion, one hundred forty-eight million, eight hundred seventy-three thousand, one hundred twenty".