546464477534976 has 5184 divisors, whose sum is σ = 2369503301308416. Its totient is φ = 123254253158400.

The previous prime is 546464477534881. The next prime is 546464477535017. The reversal of 546464477534976 is 679435774464645.

546464477534976 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 6 + 4 + 4 + 7 + 7 + 534 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 546464477534895 and 546464477534904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 499967499486 + ... + 499967500578.

Almost surely, 2^{546464477534976} is an apocalyptic number.

546464477534976 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 546464477534976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184751650654208).

546464477534976 is an abundant number, since it is smaller than the sum of its proper divisors (1823038823773440).

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

546464477534976 is a wasteful number, since it uses less digits than its factorization.

546464477534976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1197 counting only the distinct ones).

The product of its digits is 51209625600, while the sum is 81.

The spelling of 546464477534976 in words is "five hundred forty-six trillion, four hundred sixty-four billion, four hundred seventy-seven million, five hundred thirty-four thousand, nine hundred seventy-six".