11138166624 has 192 divisors, whose sum is σ = 35094850560. Its totient is φ = 3055656960.

The previous prime is 11138166623. The next prime is 11138166653. The reversal of 11138166624 is 42666183111.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11138166623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389289 + ... + 416919.

It is an arithmetic number, because the mean of its divisors is an integer number (182785680).

Almost surely, 2^11138166624 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 11138166624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17547425280).

11138166624 is an abundant number, since it is smaller than the sum of its proper divisors (23956683936).

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

11138166624 is a wasteful number, since it uses less digits than its factorization.

11138166624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27693 (or 27685 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The spelling of 11138166624 in words is "eleven billion, one hundred thirty-eight million, one hundred sixty-six thousand, six hundred twenty-four".