54341430128896 has 81 divisors (see below), whose sum is σ = 110568538570399. Its totient is φ = 26654993451008.

The previous prime is 54341430128893. The next prime is 54341430128903. The reversal of 54341430128896 is 69882103414345.

The square root of 54341430128896 is 7371664.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5658993930496 + 48682436198400 = 2378864^2 + 6977280^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54341430128896.

It is not an unprimeable number, because it can be changed into a prime (54341430128893) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 6251166726 + ... + 6251175418.

Almost surely, 2^{54341430128896} is an apocalyptic number.

54341430128896 is the 7371664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54341430128896

54341430128896 is an abundant number, since it is smaller than the sum of its proper divisors (56227108441503).

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

54341430128896 is an frugal number, since it uses more digits than its factorization.

54341430128896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17508 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 54341430128896 in words is "fifty-four trillion, three hundred forty-one billion, four hundred thirty million, one hundred twenty-eight thousand, eight hundred ninety-six".