54442144194064 has 225 divisors, whose sum is σ = 121596327105421. Its totient is φ = 23595827136640.

The previous prime is 54442144194023. The next prime is 54442144194083. The reversal of 54442144194064 is 46049144124445.

The square root of 54442144194064 is 7378492.

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., 3047468490000 + 51394675704064 = 1745700^2 + 7169008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 171741779634 + ... + 171741779950.

Almost surely, 2^{54442144194064} is an apocalyptic number.

54442144194064 is the 7378492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54442144194064

54442144194064 is an abundant number, since it is smaller than the sum of its proper divisors (67154182911357).

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

54442144194064 is an frugal number, since it uses more digits than its factorization.

54442144194064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 52.

The spelling of 54442144194064 in words is "fifty-four trillion, four hundred forty-two billion, one hundred forty-four million, one hundred ninety-four thousand, sixty-four".