6352854144 has 256 divisors, whose sum is σ = 21488544000. Its totient is φ = 1617444864.

The previous prime is 6352854143. The next prime is 6352854187. The reversal of 6352854144 is 4414582536.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6352854096 and 6352854105.

It is not an unprimeable number, because it can be changed into a prime (6352854143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010242 + ... + 1016510.

It is an arithmetic number, because the mean of its divisors is an integer number (83939625).

Almost surely, 2^6352854144 is an apocalyptic number.

6352854144 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 6352854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10744272000).

6352854144 is an abundant number, since it is smaller than the sum of its proper divisors (15135689856).

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

6352854144 is a wasteful number, since it uses less digits than its factorization.

6352854144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6323 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 6352854144 is about 79704.7937328741. The cubic root of 6352854144 is about 1852.0652994281.

The spelling of 6352854144 in words is "six billion, three hundred fifty-two million, eight hundred fifty-four thousand, one hundred forty-four".