54648038016 has 1280 divisors, whose sum is σ = 209004364800. Its totient is φ = 13934592000.

The previous prime is 54648037993. The next prime is 54648038033. The reversal of 54648038016 is 61083084645.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1332878956 + ... + 1332878996.

It is an arithmetic number, because the mean of its divisors is an integer number (163284660).

Almost surely, 2^54648038016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54648038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104502182400).

54648038016 is an abundant number, since it is smaller than the sum of its proper divisors (154356326784).

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

54648038016 is a wasteful number, since it uses less digits than its factorization.

54648038016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 54648038016 in words is "fifty-four billion, six hundred forty-eight million, thirty-eight thousand, sixteen".