2194294129225 has 81 divisors (see below), whose sum is σ = 3129127715847. Its totient is φ = 1525161924000.

The previous prime is 2194294129193. The next prime is 2194294129249. The reversal of 2194294129225 is 5229214924912.

The square root of 2194294129225 is 1481315.

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

It can be written as a sum of positive squares in only one way, i.e., 789945886521 + 1404348242704 = 888789^2 + 1185052^2 .

It is not a de Polignac number, because 2194294129225 - 2⁵ = 2194294129193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1873862890 + ... + 1873864060.

Almost surely, 2^{2194294129225} is an apocalyptic number.

2194294129225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2194294129225 is the 1481315-th square number.

2194294129225 is the 740658-th centered octagonal number.

It is an amenable number.

2194294129225 is a deficient number, since it is larger than the sum of its proper divisors (934833586622).

2194294129225 is an equidigital number, since it uses as much as digits as its factorization.

2194294129225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 1210 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The spelling of 2194294129225 in words is "two trillion, one hundred ninety-four billion, two hundred ninety-four million, one hundred twenty-nine thousand, two hundred twenty-five".