11540233344000 has 176 divisors, whose sum is σ = 38387144966976. Its totient is φ = 3077395456000.

The previous prime is 11540233343923. The next prime is 11540233344007. The reversal of 11540233344000 is 44333204511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11540233344007) 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 15 ways as a sum of consecutive naturals, for example, 14642346 + ... + 15410345.

Almost surely, 2^{11540233344000} is an apocalyptic number.

11540233344000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11540233344000 is an abundant number, since it is smaller than the sum of its proper divisors (26846911622976).

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

11540233344000 is an equidigital number, since it uses as much as digits as its factorization.

11540233344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30052729 (or 30052701 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 11540233344000 its reverse (44333204511), we get a palindrome (11584566548511).

The spelling of 11540233344000 in words is "eleven trillion, five hundred forty billion, two hundred thirty-three million, three hundred forty-four thousand".