544613668416 has 224 divisors, whose sum is σ = 1641379699200. Its totient is φ = 179236302336.

The previous prime is 544613668399. The next prime is 544613668421. The reversal of 544613668416 is 614866316445.

544613668416 is a `hidden beast` number, since 5 + 4 + 4 + 613 + 6 + 6 + 8 + 4 + 16 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11032846 + ... + 11082098.

Almost surely, 2^544613668416 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 544613668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820689849600).

544613668416 is an abundant number, since it is smaller than the sum of its proper divisors (1096766030784).

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

544613668416 is an frugal number, since it uses more digits than its factorization.

544613668416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49365 (or 49337 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 544613668416 in words is "five hundred forty-four billion, six hundred thirteen million, six hundred sixty-eight thousand, four hundred sixteen".