544206364416 has 432 divisors, whose sum is σ = 1906994849760. Its totient is φ = 146973818880.

The previous prime is 544206364397. The next prime is 544206364447. The reversal of 544206364416 is 614463602445.

544206364416 is a `hidden beast` number, since 5 + 4 + 4 + 2 + 0 + 636 + 4 + 4 + 1 + 6 = 666.

544206364416 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9526210 + ... + 9583166.

It is an arithmetic number, because the mean of its divisors is an integer number (4414339930).

Almost surely, 2^544206364416 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 544206364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953497424880).

544206364416 is an abundant number, since it is smaller than the sum of its proper divisors (1362788485344).

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

544206364416 is a wasteful number, since it uses less digits than its factorization.

544206364416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57032 (or 57015 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 544206364416 in words is "five hundred forty-four billion, two hundred six million, three hundred sixty-four thousand, four hundred sixteen".