8629628890129 has 27 divisors (see below), whose sum is σ = 9454407263793. Its totient is φ = 7873205655744.

The previous prime is 8629628890067. The next prime is 8629628890147. The reversal of 8629628890129 is 9210988269268.

The square root of 8629628890129 is 2937623.

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 3772665252225 + 4856963637904 = 1942335^2 + 2203852^2 .

It is not a de Polignac number, because 8629628890129 - 2¹¹ = 8629628888081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8629628890429) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3398828542 + ... + 3398831080.

Almost surely, 2^{8629628890129} is an apocalyptic number.

8629628890129 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

8629628890129 is the 2937623-rd square number.

8629628890129 is the 1468812-nd centered octagonal number.

It is an amenable number.

8629628890129 is a deficient number, since it is larger than the sum of its proper divisors (824778373664).

8629628890129 is an frugal number, since it uses more digits than its factorization.

8629628890129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5282 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 70.

The spelling of 8629628890129 in words is "eight trillion, six hundred twenty-nine billion, six hundred twenty-eight million, eight hundred ninety thousand, one hundred twenty-nine".