11119146240 has 144 divisors (see below), whose sum is σ = 35556083136. Its totient is φ = 2961408000.

The previous prime is 11119146179. The next prime is 11119146253. The reversal of 11119146240 is 4264191111.

It is a super-2 number, since 2×11119146240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11119146198 and 11119146207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4610635 + ... + 4613045.

It is an arithmetic number, because the mean of its divisors is an integer number (246917244).

Almost surely, 2^11119146240 is an apocalyptic number.

11119146240 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 11119146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778041568).

11119146240 is an abundant number, since it is smaller than the sum of its proper divisors (24436936896).

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

11119146240 is a wasteful number, since it uses less digits than its factorization.

11119146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 11119146240 in words is "eleven billion, one hundred nineteen million, one hundred forty-six thousand, two hundred forty".