54506014000000 has 448 divisors, whose sum is σ = 137543326922880. Its totient is φ = 21513081600000.

The previous prime is 54506013999979. The next prime is 54506014000007. The reversal of 54506014000000 is 41060545.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54506014000007) 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 55 ways as a sum of consecutive naturals, for example, 104217999739 + ... + 104218000261.

Almost surely, 2^{54506014000000} is an apocalyptic number.

54506014000000 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 54506014000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68771663461440).

54506014000000 is an abundant number, since it is smaller than the sum of its proper divisors (83037312922880).

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

54506014000000 is an frugal number, since it uses more digits than its factorization.

54506014000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 54506014000000 its reverse (41060545), we get a palindrome (54506055060545).

The spelling of 54506014000000 in words is "fifty-four trillion, five hundred six billion, fourteen million", and thus it is an aban number.