6855174144 has 576 divisors, whose sum is σ = 25137141120. Its totient is φ = 1751777280.

The previous prime is 6855174133. The next prime is 6855174169. The reversal of 6855174144 is 4414715586.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6855174144² = 93986825089132265472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6855174144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102315999 + ... + 102316065.

It is an arithmetic number, because the mean of its divisors is an integer number (43640870).

Almost surely, 2^6855174144 is an apocalyptic number.

6855174144 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 6855174144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12568570560).

6855174144 is an abundant number, since it is smaller than the sum of its proper divisors (18281966976).

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

6855174144 is a wasteful number, since it uses less digits than its factorization.

6855174144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 153 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 6855174144 is about 82795.9790328009. The cubic root of 6855174144 is about 1899.6466696623.

The spelling of 6855174144 in words is "six billion, eight hundred fifty-five million, one hundred seventy-four thousand, one hundred forty-four".