4689022122225 has 243 divisors, whose sum is σ = 10033799392929. Its totient is φ = 2087113593600.

The previous prime is 4689022122193. The next prime is 4689022122233. The reversal of 4689022122225 is 5222212209864.

The square root of 4689022122225 is 2165415.

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 1973685004641 + 2715337117584 = 1404879^2 + 1647828^2 .

It is not a de Polignac number, because 4689022122225 - 2⁵ = 4689022122193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 9322111324 + ... + 9322111826.

Almost surely, 2^{4689022122225} is an apocalyptic number.

4689022122225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4689022122225 is the 2165415-th square number.

4689022122225 is the 1082708-th centered octagonal number.

It is an amenable number.

4689022122225 is an abundant number, since it is smaller than the sum of its proper divisors (5344777270704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4689022122225 is an equidigital number, since it uses as much as digits as its factorization.

4689022122225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4689022122225 in words is "four trillion, six hundred eighty-nine billion, twenty-two million, one hundred twenty-two thousand, two hundred twenty-five".