11119240224 has 96 divisors (see below), whose sum is σ = 32536183680. Its totient is φ = 3694406400.

The previous prime is 11119240189. The next prime is 11119240261. The reversal of 11119240224 is 42204291111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248014 + ... + 289394.

It is an arithmetic number, because the mean of its divisors is an integer number (338918580).

Almost surely, 2^11119240224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11119240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16268091840).

11119240224 is an abundant number, since it is smaller than the sum of its proper divisors (21416943456).

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

11119240224 is a wasteful number, since it uses less digits than its factorization.

11119240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41711 (or 41697 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11119240224 in words is "eleven billion, one hundred nineteen million, two hundred forty thousand, two hundred twenty-four".