2968849611225 has 243 divisors, whose sum is σ = 5875452512293. Its totient is φ = 1432682926080.

The previous prime is 2968849611223. The next prime is 2968849611227. The reversal of 2968849611225 is 5221169488692.

The square root of 2968849611225 is 1723035.

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

2968849611225 is a `hidden beast` number, since 2 + 9 + 6 + 8 + 8 + 4 + 9 + 611 + 2 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2968849611223) and next prime (2968849611227).

It can be written as a sum of positive squares in 40 ways, for example, as 2911053604761 + 57796006464 = 1706181^2 + 240408^2 .

It is not a de Polignac number, because 2968849611225 - 2¹ = 2968849611223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2968849611223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 12741843709 + ... + 12741843941.

Almost surely, 2^{2968849611225} is an apocalyptic number.

2968849611225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2968849611225 is the 1723035-th square number.

2968849611225 is the 861518-th centered octagonal number.

It is an amenable number.

2968849611225 is a deficient number, since it is larger than the sum of its proper divisors (2906602901068).

2968849611225 is a wasteful number, since it uses less digits than its factorization.

2968849611225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 2968849611225 in words is "two trillion, nine hundred sixty-eight billion, eight hundred forty-nine million, six hundred eleven thousand, two hundred twenty-five".