546400325184 has 224 divisors, whose sum is σ = 1673662749696. Its totient is φ = 154090936320.

The previous prime is 546400325179. The next prime is 546400325197. The reversal of 546400325184 is 481523004645.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×546400325184² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199342054 + ... + 199344794.

It is an arithmetic number, because the mean of its divisors is an integer number (7471708704).

Almost surely, 2^546400325184 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 546400325184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836831374848).

546400325184 is an abundant number, since it is smaller than the sum of its proper divisors (1127262424512).

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

546400325184 is a wasteful number, since it uses less digits than its factorization.

546400325184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633 (or 4623 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 546400325184 in words is "five hundred forty-six billion, four hundred million, three hundred twenty-five thousand, one hundred eighty-four".