6423174144 has 264 divisors, whose sum is σ = 19313199360. Its totient is φ = 2054553600.

The previous prime is 6423174101. The next prime is 6423174161. The reversal of 6423174144 is 4414713246.

6423174144 is a `hidden beast` number, since 6 + 4 + 231 + 7 + 414 + 4 = 666.

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 = 6423174099 and 6423174108.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 33629089 + ... + 33629279.

Almost surely, 2^6423174144 is an apocalyptic number.

6423174144 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 6423174144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9656599680).

6423174144 is an abundant number, since it is smaller than the sum of its proper divisors (12890025216).

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

6423174144 is a wasteful number, since it uses less digits than its factorization.

6423174144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 326 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 6423174144 is about 80144.7075233293. The cubic root of 6423174144 is about 1858.8737684289.

The spelling of 6423174144 in words is "six billion, four hundred twenty-three million, one hundred seventy-four thousand, one hundred forty-four".