11544545214400 has 168 divisors, whose sum is σ = 30992824439424. Its totient is φ = 4197529881600.

The previous prime is 11544545214353. The next prime is 11544545214409. The reversal of 11544545214400 is 441254544511.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11544545214409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174611749 + ... + 174677851.

Almost surely, 2^{11544545214400} is an apocalyptic number.

11544545214400 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 11544545214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15496412219712).

11544545214400 is an abundant number, since it is smaller than the sum of its proper divisors (19448279225024).

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

11544545214400 is a wasteful number, since it uses less digits than its factorization.

11544545214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76059 (or 76044 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 40.

Adding to 11544545214400 its reverse (441254544511), we get a palindrome (11985799758911).

The spelling of 11544545214400 in words is "eleven trillion, five hundred forty-four billion, five hundred forty-five million, two hundred fourteen thousand, four hundred".