1985627629129 has 9 divisors (see below), whose sum is σ = 2011193068647. Its totient is φ = 1960383190584.

The previous prime is 1985627629109. The next prime is 1985627629169. The reversal of 1985627629129 is 9219267265891.

The square root of 1985627629129 is 1409123.

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., 1696024359225 + 289603269904 = 1302315^2 + 538148^2 .

It is not a de Polignac number, because 1985627629129 - 2³⁹ = 1435871815241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1985627629109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111311799 + ... + 111329635.

Almost surely, 2^{1985627629129} is an apocalyptic number.

1985627629129 is the 1409123-rd square number.

1985627629129 is the 704562-nd centered octagonal number.

It is an amenable number.

1985627629129 is a deficient number, since it is larger than the sum of its proper divisors (25565439518).

1985627629129 is an frugal number, since it uses more digits than its factorization.

1985627629129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35832 (or 17916 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 67.

The spelling of 1985627629129 in words is "one trillion, nine hundred eighty-five billion, six hundred twenty-seven million, six hundred twenty-nine thousand, one hundred twenty-nine".