6554107461168 has 400 divisors, whose sum is σ = 20648192716800. Its totient is φ = 1999437281280.

The previous prime is 6554107461127. The next prime is 6554107461169. The reversal of 6554107461168 is 8611647014556.

6554107461168 is a `hidden beast` number, since 6 + 5 + 5 + 4 + 10 + 7 + 4 + 611 + 6 + 8 = 666.

It is a super-2 number, since 2×6554107461168² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6554107461169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 452655753 + ... + 452670231.

It is an arithmetic number, because the mean of its divisors is an integer number (51620481792).

Almost surely, 2^{6554107461168} 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 6554107461168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10324096358400).

6554107461168 is an abundant number, since it is smaller than the sum of its proper divisors (14094085255632).

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

6554107461168 is a wasteful number, since it uses less digits than its factorization.

6554107461168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15142 (or 15127 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 6554107461168 in words is "six trillion, five hundred fifty-four billion, one hundred seven million, four hundred sixty-one thousand, one hundred sixty-eight".