9849768516 has 243 divisors, whose sum is σ = 30989871549. Its totient is φ = 2629622016.

The previous prime is 9849768497. The next prime is 9849768527. The reversal of 9849768516 is 6158679489.

The square root of 9849768516 is 99246.

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

9849768516 is a `hidden beast` number, since 9 + 8 + 49 + 76 + 8 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7668504900 + 2181263616 = 87570^2 + 46704^2 .

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

Its product of digits (26127360) is a multiple of the sum of its prime divisors (168).

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, 70861575 + ... + 70861713.

Almost surely, 2^9849768516 is an apocalyptic number.

9849768516 is the 99246-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9849768516

9849768516 is an abundant number, since it is smaller than the sum of its proper divisors (21140103033).

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

9849768516 is a wasteful number, since it uses less digits than its factorization.

9849768516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The cubic root of 9849768516 is about 2143.5914099535.

The spelling of 9849768516 in words is "nine billion, eight hundred forty-nine million, seven hundred sixty-eight thousand, five hundred sixteen".