54729226656 has 288 divisors, whose sum is σ = 172712908368. Its totient is φ = 16330014720.

The previous prime is 54729226637. The next prime is 54729226679. The reversal of 54729226656 is 65662292745.

54729226656 is a `hidden beast` number, since 5 + 47 + 292 + 266 + 56 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37824026256 + 16905200400 = 194484^2 + 130020^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63860980 + ... + 63861836.

Almost surely, 2^54729226656 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 54729226656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86356454184).

54729226656 is an abundant number, since it is smaller than the sum of its proper divisors (117983681712).

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

54729226656 is a wasteful number, since it uses less digits than its factorization.

54729226656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1373 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 54729226656 in words is "fifty-four billion, seven hundred twenty-nine million, two hundred twenty-six thousand, six hundred fifty-six".