6354442224 has 320 divisors, whose sum is σ = 20299395200. Its totient is φ = 1914762240.

The previous prime is 6354442181. The next prime is 6354442247. The reversal of 6354442224 is 4222444536.

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

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 63 ways as a sum of consecutive naturals, for example, 27748542 + ... + 27748770.

It is an arithmetic number, because the mean of its divisors is an integer number (63435610).

Almost surely, 2^6354442224 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 6354442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10149697600).

6354442224 is an abundant number, since it is smaller than the sum of its proper divisors (13944952976).

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

6354442224 is a wasteful number, since it uses less digits than its factorization.

6354442224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 308 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

The square root of 6354442224 is about 79714.7553718883. The cubic root of 6354442224 is about 1852.2196123687.

The spelling of 6354442224 in words is "six billion, three hundred fifty-four million, four hundred forty-two thousand, two hundred twenty-four".