4285297449216 has 729 divisors, whose sum is σ = 14758395660099. Its totient is φ = 1192375296000.

The previous prime is 4285297449187. The next prime is 4285297449233. The reversal of 4285297449216 is 6129447925824.

It is a happy number.

The square root of 4285297449216 is 2070096.

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

4285297449216 is a `hidden beast` number, since 4 + 2 + 8 + 52 + 97 + 4 + 492 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1390991616 + 4283906457600 = 37296^2 + 2069760^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (69672960) is a multiple of the sum of its prime factors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42428687566 + ... + 42428687666.

Almost surely, 2^{4285297449216} is an apocalyptic number.

4285297449216 is the 2070096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4285297449216

4285297449216 is an abundant number, since it is smaller than the sum of its proper divisors (10473098210883).

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

4285297449216 is an equidigital number, since it uses as much as digits as its factorization.

4285297449216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 174 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 4285297449216 in words is "four trillion, two hundred eighty-five billion, two hundred ninety-seven million, four hundred forty-nine thousand, two hundred sixteen".