546116254140300 has 288 divisors, whose sum is σ = 1595403660755520. Its totient is φ = 144227362406400.

The previous prime is 546116254140293. The next prime is 546116254140349. The reversal of 546116254140300 is 3041452611645.

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 95 ways as a sum of consecutive naturals, for example, 66043804566 + ... + 66043812834.

It is an arithmetic number, because the mean of its divisors is an integer number (5539596044290).

Almost surely, 2^{546116254140300} is an apocalyptic number.

546116254140300 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 546116254140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797701830377760).

546116254140300 is an abundant number, since it is smaller than the sum of its proper divisors (1049287406615220).

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

546116254140300 is a wasteful number, since it uses less digits than its factorization.

546116254140300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13453 (or 13446 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 546116254140300 in words is "five hundred forty-six trillion, one hundred sixteen billion, two hundred fifty-four million, one hundred forty thousand, three hundred".