2246416428025 has 243 divisors, whose sum is σ = 3800127164967. Its totient is φ = 1312233753600.

The previous prime is 2246416428007. The next prime is 2246416428029. The reversal of 2246416428025 is 5208246146422.

It is a happy number.

The square root of 2246416428025 is 1498805.

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

2246416428025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 27841925881 + 2218574502144 = 166859^2 + 1489488^2 .

It is not a de Polignac number, because 2246416428025 - 2¹⁷ = 2246416296953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2246416428029) 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, 9809678611 + ... + 9809678839.

Almost surely, 2^{2246416428025} is an apocalyptic number.

2246416428025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2246416428025 is the 1498805-th square number.

2246416428025 is the 749403-rd centered octagonal number.

It is an amenable number.

2246416428025 is a deficient number, since it is larger than the sum of its proper divisors (1553710736942).

2246416428025 is a wasteful number, since it uses less digits than its factorization.

2246416428025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 46.

The spelling of 2246416428025 in words is "two trillion, two hundred forty-six billion, four hundred sixteen million, four hundred twenty-eight thousand, twenty-five".