54648084645 has 128 divisors (see below), whose sum is σ = 122326364160. Its totient is φ = 22485600000.

The previous prime is 54648084613. The next prime is 54648084683.

54648084645 is a `hidden beast` number, since 5 + 46 + 480 + 84 + 6 + 45 = 666.

54648084645 is nontrivially palindromic in base 10.

54648084645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54648084645 - 2⁵ = 54648084613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54648084591 and 54648084600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1023870 + ... + 1075920.

It is an arithmetic number, because the mean of its divisors is an integer number (955674720).

Almost surely, 2^54648084645 is an apocalyptic number.

54648084645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54648084645 is an abundant number, since it is smaller than the sum of its proper divisors (67678279515).

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

54648084645 is a wasteful number, since it uses less digits than its factorization.

54648084645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52184 (or 52178 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 54648084645 in words is "fifty-four billion, six hundred forty-eight million, eighty-four thousand, six hundred forty-five".