11144175840 has 432 divisors, whose sum is σ = 45279522288. Its totient is φ = 2487324672.

The previous prime is 11144175799. The next prime is 11144175871. The reversal of 11144175840 is 4857144111.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11144175795 and 11144175804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3032244 + ... + 3035916.

It is an arithmetic number, because the mean of its divisors is an integer number (104813709).

Almost surely, 2^11144175840 is an apocalyptic number.

11144175840 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 11144175840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22639761144).

11144175840 is an abundant number, since it is smaller than the sum of its proper divisors (34135346448).

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

11144175840 is a wasteful number, since it uses less digits than its factorization.

11144175840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 11144175840 in words is "eleven billion, one hundred forty-four million, one hundred seventy-five thousand, eight hundred forty".