54561485056 has 81 divisors (see below), whose sum is σ = 118037064789. Its totient is φ = 25159799808.

The previous prime is 54561485021. The next prime is 54561485059. The reversal of 54561485056 is 65058416545.

The square root of 54561485056 is 233584.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8071225600 + 46490259456 = 89840^2 + 215616^2 .

It is a super-2 number, since 2×54561485056² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54561485059) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 48584911 + ... + 48586033.

Almost surely, 2^54561485056 is an apocalyptic number.

54561485056 is the 233584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54561485056

54561485056 is an abundant number, since it is smaller than the sum of its proper divisors (63475579733).

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

54561485056 is an frugal number, since it uses more digits than its factorization.

54561485056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 49.

Multiplying 54561485056 by its sum of digits (49), we get a square (2673512767744 = 1635088²).

The spelling of 54561485056 in words is "fifty-four billion, five hundred sixty-one million, four hundred eighty-five thousand, fifty-six".