6452581344 has 144 divisors (see below), whose sum is σ = 18693763200. Its totient is φ = 1932736000.

The previous prime is 6452581307. The next prime is 6452581351. The reversal of 6452581344 is 4431852546.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6452581296 and 6452581305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10771957 + ... + 10772555.

It is an arithmetic number, because the mean of its divisors is an integer number (129817800).

Almost surely, 2^6452581344 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 6452581344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9346881600).

6452581344 is an abundant number, since it is smaller than the sum of its proper divisors (12241181856).

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

6452581344 is a wasteful number, since it uses less digits than its factorization.

6452581344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 716 counting only the distinct ones).

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

The square root of 6452581344 is about 80327.9611592377. The cubic root of 6452581344 is about 1861.7062756341.

The spelling of 6452581344 in words is "six billion, four hundred fifty-two million, five hundred eighty-one thousand, three hundred forty-four".