544034340864 has 600 divisors, whose sum is σ = 1872911389888. Its totient is φ = 154793410560.

The previous prime is 544034340803. The next prime is 544034340869. The reversal of 544034340864 is 468043430445.

544034340864 is a `hidden beast` number, since 544 + 0 + 3 + 4 + 3 + 40 + 8 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544034340869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2257403784 + ... + 2257404024.

Almost surely, 2^544034340864 is an apocalyptic number.

544034340864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544034340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936455694944).

544034340864 is an abundant number, since it is smaller than the sum of its proper divisors (1328877049024).

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

544034340864 is an frugal number, since it uses more digits than its factorization.

544034340864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 544034340864 in words is "five hundred forty-four billion, thirty-four million, three hundred forty thousand, eight hundred sixty-four".