11145023640 has 192 divisors, whose sum is σ = 37544083200. Its totient is φ = 2863881216.

The previous prime is 11145023633. The next prime is 11145023641. The reversal of 11145023640 is 4632054111.

It is a happy number.

11145023640 is a `hidden beast` number, since 1 + 1 + 14 + 5 + 0 + 2 + 3 + 640 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11145023641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9009102 + ... + 9010338.

It is an arithmetic number, because the mean of its divisors is an integer number (195542100).

Almost surely, 2^11145023640 is an apocalyptic number.

11145023640 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 11145023640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18772041600).

11145023640 is an abundant number, since it is smaller than the sum of its proper divisors (26399059560).

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

11145023640 is a wasteful number, since it uses less digits than its factorization.

11145023640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11145023640 its reverse (4632054111), we get a palindrome (15777077751).

The spelling of 11145023640 in words is "eleven billion, one hundred forty-five million, twenty-three thousand, six hundred forty".