11389158144 has 576 divisors, whose sum is σ = 43679462400. Its totient is φ = 2842656768.

The previous prime is 11389158119. The next prime is 11389158167. The reversal of 11389158144 is 44185198311.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 11389158144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11950372 + ... + 11951324.

It is an arithmetic number, because the mean of its divisors is an integer number (75832400).

Almost surely, 2^11389158144 is an apocalyptic number.

11389158144 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 11389158144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21839731200).

11389158144 is an abundant number, since it is smaller than the sum of its proper divisors (32290304256).

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

11389158144 is a wasteful number, since it uses less digits than its factorization.

11389158144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 997 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The spelling of 11389158144 in words is "eleven billion, three hundred eighty-nine million, one hundred fifty-eight thousand, one hundred forty-four".