545648498635968 has 6272 divisors, whose sum is σ = 2282523686912000. Its totient is φ = 127994801356800.

The previous prime is 545648498635927. The next prime is 545648498635993. The reversal of 545648498635968 is 869536894846545.

545648498635968 is a `hidden beast` number, since 5 + 4 + 5 + 6 + 4 + 8 + 4 + 9 + 8 + 6 + 3 + 596 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 7474636967580 + ... + 7474636967652.

Almost surely, 2^{545648498635968} 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 545648498635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141261843456000).

545648498635968 is an abundant number, since it is smaller than the sum of its proper divisors (1736875188276032).

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

545648498635968 is a wasteful number, since it uses less digits than its factorization.

545648498635968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 209 counting only the distinct ones).

The product of its digits is 214990848000, while the sum is 90.

The spelling of 545648498635968 in words is "five hundred forty-five trillion, six hundred forty-eight billion, four hundred ninety-eight million, six hundred thirty-five thousand, nine hundred sixty-eight".