11159523144 has 384 divisors, whose sum is σ = 39271814400. Its totient is φ = 2874009600.

The previous prime is 11159523119. The next prime is 11159523169. The reversal of 11159523144 is 44132595111.

11159523144 is a `hidden beast` number, since 1 + 1 + 1 + 595 + 23 + 1 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (11159523119) and next prime (11159523169).

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 = 11159523099 and 11159523108.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33114144 + ... + 33114480.

It is an arithmetic number, because the mean of its divisors is an integer number (102270350).

Almost surely, 2^11159523144 is an apocalyptic number.

11159523144 is a gapful number since it is divisible by the number (14) 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 11159523144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19635907200).

11159523144 is an abundant number, since it is smaller than the sum of its proper divisors (28112291256).

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

11159523144 is a wasteful number, since it uses less digits than its factorization.

11159523144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 541 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

It can be divided in two parts, 1115 and 9523144, that added together give a palindrome (9524259).

The spelling of 11159523144 in words is "eleven billion, one hundred fifty-nine million, five hundred twenty-three thousand, one hundred forty-four".