54112141144000 has 336 divisors, whose sum is σ = 137441703597120. Its totient is φ = 21103721318400.

The previous prime is 54112141143961. The next prime is 54112141144007. The reversal of 54112141144000 is 44114121145.

It is a self number, because there is not a number n which added to its sum of digits gives 54112141144000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54112141144007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4753762309 + ... + 4753773691.

Almost surely, 2^{54112141144000} is an apocalyptic number.

54112141144000 is a gapful number since it is divisible by the number (50) 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 54112141144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68720851798560).

54112141144000 is an abundant number, since it is smaller than the sum of its proper divisors (83329562453120).

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

54112141144000 is a wasteful number, since it uses less digits than its factorization.

54112141144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11773 (or 11706 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

Adding to 54112141144000 its reverse (44114121145), we get a palindrome (54156255265145).

The spelling of 54112141144000 in words is "fifty-four trillion, one hundred twelve billion, one hundred forty-one million, one hundred forty-four thousand".