546181040736000 has 432 divisors, whose sum is σ = 1966120471617120. Its totient is φ = 145588858060800.

The previous prime is 546181040735963. The next prime is 546181040736091. The reversal of 546181040736000 is 637040181645.

546181040736000 is a `hidden beast` number, since 5 + 4 + 6 + 181 + 0 + 407 + 3 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707806384 + ... + 708577616.

It is an arithmetic number, because the mean of its divisors is an integer number (4551204795410).

Almost surely, 2^{546181040736000} is an apocalyptic number.

546181040736000 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 546181040736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983060235808560).

546181040736000 is an abundant number, since it is smaller than the sum of its proper divisors (1419939430881120).

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

546181040736000 is a wasteful number, since it uses less digits than its factorization.

546181040736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773729 (or 773702 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 546181040736000 in words is "five hundred forty-six trillion, one hundred eighty-one billion, forty million, seven hundred thirty-six thousand".