5546405386368 has 384 divisors, whose sum is σ = 20361402547200. Its totient is φ = 1407120906240.

The previous prime is 5546405386367. The next prime is 5546405386387. The reversal of 5546405386368 is 8636835046455.

5546405386368 is a `hidden beast` number, since 5 + 5 + 4 + 64 + 0 + 538 + 6 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5546405386368² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5546405386367) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3087213 + ... + 4541331.

It is an arithmetic number, because the mean of its divisors is an integer number (53024485800).

Almost surely, 2^{5546405386368} 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 5546405386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10180701273600).

5546405386368 is an abundant number, since it is smaller than the sum of its proper divisors (14814997160832).

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

5546405386368 is a wasteful number, since it uses less digits than its factorization.

5546405386368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454200 (or 1454185 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 63.

The spelling of 5546405386368 in words is "five trillion, five hundred forty-six billion, four hundred five million, three hundred eighty-six thousand, three hundred sixty-eight".