6351452416 has 81 divisors (see below), whose sum is σ = 13513855411. Its totient is φ = 2978717696.

The previous prime is 6351452413. The next prime is 6351452423. The reversal of 6351452416 is 6142541536.

The square root of 6351452416 is 79696.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3563612416 + 2787840000 = 59696^2 + 52800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6351452413) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21677166 + ... + 21677458.

Almost surely, 2^6351452416 is an apocalyptic number.

6351452416 is the 79696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6351452416

6351452416 is an abundant number, since it is smaller than the sum of its proper divisors (7162402995).

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

6351452416 is an frugal number, since it uses more digits than its factorization.

6351452416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 312 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The cubic root of 6351452416 is about 1851.9290728497.

The spelling of 6351452416 in words is "six billion, three hundred fifty-one million, four hundred fifty-two thousand, four hundred sixteen".