544355304064 has 128 divisors (see below), whose sum is σ = 1275142538880. Its totient is φ = 228204687360.

The previous prime is 544355304043. The next prime is 544355304067. The reversal of 544355304064 is 460403553445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 544355304064.

It is not an unprimeable number, because it can be changed into a prime (544355304067) 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 15 ways as a sum of consecutive naturals, for example, 22373634 + ... + 22397950.

It is an arithmetic number, because the mean of its divisors is an integer number (9962051085).

Almost surely, 2^544355304064 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 544355304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637571269440).

544355304064 is an abundant number, since it is smaller than the sum of its proper divisors (730787234816).

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

544355304064 is a wasteful number, since it uses less digits than its factorization.

544355304064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25578 (or 25566 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 43.

The spelling of 544355304064 in words is "five hundred forty-four billion, three hundred fifty-five million, three hundred four thousand, sixty-four".