4964411785216 has 225 divisors, whose sum is σ = 10861308061611. Its totient is φ = 2269021667328.

The previous prime is 4964411785199. The next prime is 4964411785261. The reversal of 4964411785216 is 6125871144694.

The square root of 4964411785216 is 2228096.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2461434658816 + 2502977126400 = 1568896^2 + 1582080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 48198172621 + ... + 48198172723.

Almost surely, 2^{4964411785216} is an apocalyptic number.

4964411785216 is the 2228096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4964411785216

4964411785216 is an abundant number, since it is smaller than the sum of its proper divisors (5896896276395).

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

4964411785216 is an frugal number, since it uses more digits than its factorization.

4964411785216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 118 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 58.

The spelling of 4964411785216 in words is "four trillion, nine hundred sixty-four billion, four hundred eleven million, seven hundred eighty-five thousand, two hundred sixteen".