4309211346496 has 189 divisors, whose sum is σ = 10503662266827. Its totient is φ = 1748707833600.

The previous prime is 4309211346463. The next prime is 4309211346563. The reversal of 4309211346496 is 6946431129034.

The square root of 4309211346496 is 2075864.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2208718321 + ... + 2208720271.

Almost surely, 2^{4309211346496} is an apocalyptic number.

4309211346496 is the 2075864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4309211346496

4309211346496 is an abundant number, since it is smaller than the sum of its proper divisors (6194450920331).

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

4309211346496 is an frugal number, since it uses more digits than its factorization.

4309211346496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 52.

The spelling of 4309211346496 in words is "four trillion, three hundred nine billion, two hundred eleven million, three hundred forty-six thousand, four hundred ninety-six".