6166105344 has 288 divisors, whose sum is σ = 21516615680. Its totient is φ = 1704499200.

The previous prime is 6166105331. The next prime is 6166105391. The reversal of 6166105344 is 4435016616.

It is a happy number.

6166105344 is a `hidden beast` number, since 6 + 1 + 6 + 610 + 5 + 34 + 4 = 666.

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

It is a super-3 number, since 3×6166105344³ (a number of 30 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 6166105299 and 6166105308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1497849 + ... + 1501959.

Almost surely, 2^6166105344 is an apocalyptic number.

6166105344 is a gapful number since it is divisible by the number (64) 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 6166105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10758307840).

6166105344 is an abundant number, since it is smaller than the sum of its proper divisors (15350510336).

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

6166105344 is a wasteful number, since it uses less digits than its factorization.

6166105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6166105344 is about 78524.5524915615. The cubic root of 6166105344 is about 1833.7367130322.

The spelling of 6166105344 in words is "six billion, one hundred sixty-six million, one hundred five thousand, three hundred forty-four".