544105468368 has 720 divisors, whose sum is σ = 2022974688000. Its totient is φ = 139485265920.

The previous prime is 544105468367. The next prime is 544105468373. The reversal of 544105468368 is 863864501445.

544105468368 is a `hidden beast` number, since 5 + 4 + 4 + 10 + 546 + 83 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544105468367) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202343568 + ... + 202346256.

Almost surely, 2^544105468368 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 544105468368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011487344000).

544105468368 is an abundant number, since it is smaller than the sum of its proper divisors (1478869219632).

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

544105468368 is a wasteful number, since it uses less digits than its factorization.

544105468368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 544105468368 in words is "five hundred forty-four billion, one hundred five million, four hundred sixty-eight thousand, three hundred sixty-eight".