54564516864 has 704 divisors, whose sum is σ = 195497998080. Its totient is φ = 14810480640.

The previous prime is 54564516829. The next prime is 54564516887. The reversal of 54564516864 is 46861546545.

54564516864 is a `hidden beast` number, since 5 + 4 + 5 + 64 + 516 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 54564516864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146285382 + ... + 146285754.

It is an arithmetic number, because the mean of its divisors is an integer number (277696020).

Almost surely, 2^54564516864 is an apocalyptic number.

54564516864 is a gapful number since it is divisible by the number (54) 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 54564516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97748999040).

54564516864 is an abundant number, since it is smaller than the sum of its proper divisors (140933481216).

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

54564516864 is a wasteful number, since it uses less digits than its factorization.

54564516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 439 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 54564516864 in words is "fifty-four billion, five hundred sixty-four million, five hundred sixteen thousand, eight hundred sixty-four".