546683358816 has 384 divisors, whose sum is σ = 1887363072000. Its totient is φ = 150629455872.

The previous prime is 546683358811. The next prime is 546683358889. The reversal of 546683358816 is 618853386645.

546683358816 is a `hidden beast` number, since 5 + 4 + 6 + 6 + 8 + 33 + 588 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546683358811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224325150 + ... + 224327586.

It is an arithmetic number, because the mean of its divisors is an integer number (4915008000).

Almost surely, 2^546683358816 is an apocalyptic number.

546683358816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546683358816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943681536000).

546683358816 is an abundant number, since it is smaller than the sum of its proper divisors (1340679713184).

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

546683358816 is a wasteful number, since it uses less digits than its factorization.

546683358816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3757 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 546683358816 in words is "five hundred forty-six billion, six hundred eighty-three million, three hundred fifty-eight thousand, eight hundred sixteen".