9768118909201 has 27 divisors (see below), whose sum is σ = 10451952932337. Its totient is φ = 9127165207680.

The previous prime is 9768118909139. The next prime is 9768118909249. The reversal of 9768118909201 is 1029098118679.

The square root of 9768118909201 is 3125399.

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

It can be written as a sum of positive squares in 4 ways, for example, as 65766089601 + 9702352819600 = 256449^2 + 3114860^2 .

It is not a de Polignac number, because 9768118909201 - 2²⁷ = 9767984691473 is a prime.

It is a super-2 number, since 2×9768118909201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9768118909201.

It is not an unprimeable number, because it can be changed into a prime (9768118909001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8341689346 + ... + 8341690516.

Almost surely, 2^{9768118909201} is an apocalyptic number.

9768118909201 is the 3125399-th square number.

9768118909201 is the 1562700-th centered octagonal number.

It is an amenable number.

9768118909201 is a deficient number, since it is larger than the sum of its proper divisors (683834023136).

9768118909201 is an frugal number, since it uses more digits than its factorization.

9768118909201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 61.

The spelling of 9768118909201 in words is "nine trillion, seven hundred sixty-eight billion, one hundred eighteen million, nine hundred nine thousand, two hundred one".