546510146688 has 640 divisors, whose sum is σ = 1844516836800. Its totient is φ = 159109816320.

The previous prime is 546510146641. The next prime is 546510146773. The reversal of 546510146688 is 886641015645.

It is a happy number.

546510146688 is a `hidden beast` number, since 5 + 4 + 6 + 510 + 1 + 46 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 1233656995 + ... + 1233657437.

Almost surely, 2^546510146688 is an apocalyptic number.

546510146688 is a gapful number since it is divisible by the number (58) 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 546510146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922258418400).

546510146688 is an abundant number, since it is smaller than the sum of its proper divisors (1298006690112).

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

546510146688 is a wasteful number, since it uses less digits than its factorization.

546510146688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 546510146688 in words is "five hundred forty-six billion, five hundred ten million, one hundred forty-six thousand, six hundred eighty-eight".