5546046578688 has 2240 divisors, whose sum is σ = 22608225446400. Its totient is φ = 1310966415360.

The previous prime is 5546046578687. The next prime is 5546046578701. The reversal of 5546046578688 is 8868756406455.

5546046578688 is a `hidden beast` number, since 5 + 5 + 4 + 6 + 0 + 46 + 578 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5546046578687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28152520606 + ... + 28152520802.

Almost surely, 2^{5546046578688} is an apocalyptic number.

5546046578688 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 5546046578688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11304112723200).

5546046578688 is an abundant number, since it is smaller than the sum of its proper divisors (17062178867712).

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

5546046578688 is a wasteful number, since it uses less digits than its factorization.

5546046578688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1548288000, while the sum is 72.

The spelling of 5546046578688 in words is "five trillion, five hundred forty-six billion, forty-six million, five hundred seventy-eight thousand, six hundred eighty-eight".