54148245312000 has 1280 divisors, whose sum is σ = 217922137804800. Its totient is φ = 11652503961600.

The previous prime is 54148245311971. The next prime is 54148245312071. The reversal of 54148245312000 is 21354284145.

54148245312000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 54148245312000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4162361496 + ... + 4162374504.

It is an arithmetic number, because the mean of its divisors is an integer number (170251670160).

Almost surely, 2^{54148245312000} is an apocalyptic number.

54148245312000 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 54148245312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108961068902400).

54148245312000 is an abundant number, since it is smaller than the sum of its proper divisors (163773892492800).

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

54148245312000 is a wasteful number, since it uses less digits than its factorization.

54148245312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13234 (or 13208 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

Adding to 54148245312000 its reverse (21354284145), we get a palindrome (54169599596145).

The spelling of 54148245312000 in words is "fifty-four trillion, one hundred forty-eight billion, two hundred forty-five million, three hundred twelve thousand".