546484238118000 has 3840 divisors, whose sum is σ = 2732149531238400. Its totient is φ = 98336017612800.

The previous prime is 546484238117941. The next prime is 546484238118037. The reversal of 546484238118000 is 811832484645.

546484238118000 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 84 + 2 + 381 + 180 + 0 + 0 = 666.

It is a super-2 number, since 2×546484238118000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 12168679546 + ... + 12168724454.

It is an arithmetic number, because the mean of its divisors is an integer number (711497273760).

Almost surely, 2^{546484238118000} is an apocalyptic number.

546484238118000 is a gapful number since it is divisible by the number (50) 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 546484238118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366074765619200).

546484238118000 is an abundant number, since it is smaller than the sum of its proper divisors (2185665293120400).

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

546484238118000 is a wasteful number, since it uses less digits than its factorization.

546484238118000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45017 (or 44998 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 546484238118000 in words is "five hundred forty-six trillion, four hundred eighty-four billion, two hundred thirty-eight million, one hundred eighteen thousand".