545543904288768 has 1792 divisors, whose sum is σ = 1917542903316480. Its totient is φ = 133838969241600.

The previous prime is 545543904288701. The next prime is 545543904288821. The reversal of 545543904288768 is 867882409345545.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a junction number, because it is equal to n+sod(n) for n = 545543904288693 and 545543904288702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 564161224221 + ... + 564161225187.

Almost surely, 2^{545543904288768} 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 545543904288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958771451658240).

545543904288768 is an abundant number, since it is smaller than the sum of its proper divisors (1371998999027712).

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

545543904288768 is a wasteful number, since it uses less digits than its factorization.

545543904288768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 9289728000, while the sum is 78.

The spelling of 545543904288768 in words is "five hundred forty-five trillion, five hundred forty-three billion, nine hundred four million, two hundred eighty-eight thousand, seven hundred sixty-eight".