54642568293664 has 144 divisors (see below), whose sum is σ = 120718373158656. Its totient is φ = 24177950092800.

The previous prime is 54642568293629. The next prime is 54642568293671. The reversal of 54642568293664 is 46639286524645.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 54642568293593 and 54642568293602.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147461259 + ... + 147831349.

It is an arithmetic number, because the mean of its divisors is an integer number (838322035824).

Almost surely, 2^{54642568293664} 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 54642568293664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60359186579328).

54642568293664 is an abundant number, since it is smaller than the sum of its proper divisors (66075804864992).

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

54642568293664 is a wasteful number, since it uses less digits than its factorization.

54642568293664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370359 (or 370244 counting only the distinct ones).

The product of its digits is 1791590400, while the sum is 70.

The spelling of 54642568293664 in words is "fifty-four trillion, six hundred forty-two billion, five hundred sixty-eight million, two hundred ninety-three thousand, six hundred sixty-four".