54466820666896 has 135 divisors (see below), whose sum is σ = 118922421225517. Its totient is φ = 24147896608000.

The previous prime is 54466820666833. The next prime is 54466820666903. The reversal of 54466820666896 is 69866602866445.

The square root of 54466820666896 is 7380164.

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

54466820666896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2624516641296 + 51842304025600 = 1620036^2 + 7200160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13313813811 + ... + 13313817901.

Almost surely, 2^{54466820666896} is an apocalyptic number.

54466820666896 is the 7380164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54466820666896

54466820666896 is an abundant number, since it is smaller than the sum of its proper divisors (64455600558621).

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

54466820666896 is an frugal number, since it uses more digits than its factorization.

54466820666896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 4299816960, while the sum is 76.

The spelling of 54466820666896 in words is "fifty-four trillion, four hundred sixty-six billion, eight hundred twenty million, six hundred sixty-six thousand, eight hundred ninety-six".