6318342144 has 315 divisors, whose sum is σ = 19805325043. Its totient is φ = 2014543872.

The previous prime is 6318342139. The next prime is 6318342193. The reversal of 6318342144 is 4412438136.

The square root of 6318342144 is 79488.

It is a perfect power (a square), and thus also a powerful number.

6318342144 is a `hidden beast` number, since 631 + 8 + 3 + 4 + 2 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6318342099 and 6318342108.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 274710517 + ... + 274710539.

Almost surely, 2^6318342144 is an apocalyptic number.

6318342144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6318342144 is the 79488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6318342144

6318342144 is an abundant number, since it is smaller than the sum of its proper divisors (13486982899).

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

6318342144 is an frugal number, since it uses more digits than its factorization.

6318342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 28 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The cubic root of 6318342144 is about 1848.7054146228.

Multiplying 6318342144 by its sum of digits (36), we get a square (227460317184 = 476928²).

6318342144 divided by its sum of digits (36) gives a square (175509504 = 13248²).

The spelling of 6318342144 in words is "six billion, three hundred eighteen million, three hundred forty-two thousand, one hundred forty-four".