54451648106496 has 585 divisors, whose sum is σ = 170348462827081. Its totient is φ = 17330225577984.

The previous prime is 54451648106491. The next prime is 54451648106497. The reversal of 54451648106496 is 69460184615445.

The square root of 54451648106496 is 7379136.

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

54451648106496 is a `hidden beast` number, since 5 + 4 + 4 + 5 + 1 + 6 + 481 + 0 + 64 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4778246246400 + 49673401860096 = 2185920^2 + 7047936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54451648106491) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 97758793450 + ... + 97758794006.

Almost surely, 2^{54451648106496} is an apocalyptic number.

54451648106496 is the 7379136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54451648106496

54451648106496 is an abundant number, since it is smaller than the sum of its proper divisors (115896814720585).

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

54451648106496 is an frugal number, since it uses more digits than its factorization.

54451648106496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 54451648106496 in words is "fifty-four trillion, four hundred fifty-one billion, six hundred forty-eight million, one hundred six thousand, four hundred ninety-six".