5546208063744 has 288 divisors, whose sum is σ = 16874034656640. Its totient is φ = 1796184834048.

The previous prime is 5546208063733. The next prime is 5546208063761. The reversal of 5546208063744 is 4473608026455.

5546208063744 is a `hidden beast` number, since 5 + 5 + 4 + 620 + 8 + 0 + 6 + 3 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33724564 + ... + 33888620.

Almost surely, 2^{5546208063744} is an apocalyptic number.

5546208063744 is a gapful number since it is divisible by the number (54) 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 5546208063744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8437017328320).

5546208063744 is an abundant number, since it is smaller than the sum of its proper divisors (11327826592896).

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

5546208063744 is a wasteful number, since it uses less digits than its factorization.

5546208063744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164222 (or 164202 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 5546208063744 in words is "five trillion, five hundred forty-six billion, two hundred eight million, sixty-three thousand, seven hundred forty-four".