2194625956329 has 45 divisors (see below), whose sum is σ = 3296878636359. Its totient is φ = 1454879828160.

The previous prime is 2194625956319. The next prime is 2194625956331. The reversal of 2194625956329 is 9236595264912.

The square root of 2194625956329 is 1481427.

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

2194625956329 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 6 + 2 + 595 + 6 + 32 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1650513186729 + 544112769600 = 1284723^2 + 737640^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2194625956329 is a prime.

It is a super-4 number, since 4×2194625956329⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (2194625956319) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3213214822 + ... + 3213215504.

Almost surely, 2^{2194625956329} is an apocalyptic number.

2194625956329 is the 1481427-th square number.

2194625956329 is the 740714-th centered octagonal number.

It is an amenable number.

2194625956329 is a deficient number, since it is larger than the sum of its proper divisors (1102252680030).

2194625956329 is an frugal number, since it uses more digits than its factorization.

2194625956329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 927 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 2194625956329 in words is "two trillion, one hundred ninety-four billion, six hundred twenty-five million, nine hundred fifty-six thousand, three hundred twenty-nine".