11430828144 has 120 divisors (see below), whose sum is σ = 33485392512. Its totient is φ = 3633252480.

The previous prime is 11430828107. The next prime is 11430828163. The reversal of 11430828144 is 44182803411.

It is a happy number.

11430828144 is a `hidden beast` number, since 1 + 1 + 430 + 82 + 8 + 144 = 666.

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 = 11430828099 and 11430828108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091059 + ... + 1101485.

Almost surely, 2^11430828144 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 11430828144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16742696256).

11430828144 is an abundant number, since it is smaller than the sum of its proper divisors (22054564368).

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

11430828144 is a wasteful number, since it uses less digits than its factorization.

11430828144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10795 (or 10786 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 11430828144 in words is "eleven billion, four hundred thirty million, eight hundred twenty-eight thousand, one hundred forty-four".