4327456704516 has 243 divisors, whose sum is σ = 12326633654517. Its totient is φ = 1279106579520.

The previous prime is 4327456704511. The next prime is 4327456704587. The reversal of 4327456704516 is 6154076547234.

The square root of 4327456704516 is 2080254.

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

4327456704516 is a `hidden beast` number, since 4 + 3 + 2 + 7 + 4 + 56 + 70 + 4 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4233512002500 + 93944702016 = 2057550^2 + 306504^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4327456704511) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5903760486 + ... + 5903761218.

Almost surely, 2^{4327456704516} is an apocalyptic number.

4327456704516 is the 2080254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4327456704516

4327456704516 is an abundant number, since it is smaller than the sum of its proper divisors (7999176950001).

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

4327456704516 is a wasteful number, since it uses less digits than its factorization.

4327456704516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 4327456704516 in words is "four trillion, three hundred twenty-seven billion, four hundred fifty-six million, seven hundred four thousand, five hundred sixteen".