54514345408000 has 160 divisors (see below), whose sum is σ = 136186279957728. Its totient is φ = 21765417984000.

The previous prime is 54514345407971. The next prime is 54514345408049. The reversal of 54514345408000 is 80454341545.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33836767 + ... + 35411233.

Almost surely, 2^{54514345408000} is an apocalyptic number.

54514345408000 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 54514345408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68093139978864).

54514345408000 is an abundant number, since it is smaller than the sum of its proper divisors (81671934549728).

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

54514345408000 is an equidigital number, since it uses as much as digits as its factorization.

54514345408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575041 (or 1575015 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 43.

Adding to 54514345408000 its reverse (80454341545), we get a palindrome (54594799749545).

The spelling of 54514345408000 in words is "fifty-four trillion, five hundred fourteen billion, three hundred forty-five million, four hundred eight thousand".