546526071168 has 256 divisors, whose sum is σ = 1872338112000. Its totient is φ = 137059614720.

The previous prime is 546526071163. The next prime is 546526071173. The reversal of 546526071168 is 861170625645.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (546526071163) and next prime (546526071173).

It is a self number, because there is not a number n which added to its sum of digits gives 546526071168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546526071163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538788 + ... + 1176156.

It is an arithmetic number, because the mean of its divisors is an integer number (7313820750).

Almost surely, 2^546526071168 is an apocalyptic number.

546526071168 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 546526071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936169056000).

546526071168 is an abundant number, since it is smaller than the sum of its proper divisors (1325812040832).

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

546526071168 is a wasteful number, since it uses less digits than its factorization.

546526071168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637433 (or 637421 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 546526071168 in words is "five hundred forty-six billion, five hundred twenty-six million, seventy-one thousand, one hundred sixty-eight".