6546354800128 has 160 divisors (see below), whose sum is σ = 15862326746112. Its totient is φ = 2658117427200.

The previous prime is 6546354800113. The next prime is 6546354800129. The reversal of 6546354800128 is 8210084536456.

It is a super-3 number, since 3×6546354800128³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6546354800129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827575 + ... + 3711817.

Almost surely, 2^{6546354800128} 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 6546354800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931163373056).

6546354800128 is an abundant number, since it is smaller than the sum of its proper divisors (9315971945984).

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

6546354800128 is a wasteful number, since it uses less digits than its factorization.

6546354800128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884316 (or 2884300 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 52.

The spelling of 6546354800128 in words is "six trillion, five hundred forty-six billion, three hundred fifty-four million, eight hundred thousand, one hundred twenty-eight".