546318259968 has 144 divisors (see below), whose sum is σ = 1574506003616. Its totient is φ = 167168655360.

The previous prime is 546318259933. The next prime is 546318259973. The reversal of 546318259968 is 869952813645.

546318259968 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×546318259968² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 546318259899 and 546318259908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1655946 + ... + 1958262.

Almost surely, 2^546318259968 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 546318259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787253001808).

546318259968 is an abundant number, since it is smaller than the sum of its proper divisors (1028187743648).

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

546318259968 is a wasteful number, since it uses less digits than its factorization.

546318259968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302530 (or 302516 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 66.

The spelling of 546318259968 in words is "five hundred forty-six billion, three hundred eighteen million, two hundred fifty-nine thousand, nine hundred sixty-eight".