108838628649 has 27 divisors (see below), whose sum is σ = 158179385637. Its totient is φ = 72115030944.

The previous prime is 108838628599. The next prime is 108838628651. The reversal of 108838628649 is 946826838801.

The square root of 108838628649 is 329907.

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 3629219049 + 105209409600 = 60243^2 + 324360^2 .

It is not a de Polignac number, because 108838628649 - 2⁹ = 108838628137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (108838624649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 274152519 + ... + 274152915.

Almost surely, 2^108838628649 is an apocalyptic number.

108838628649 is the 329907-th square number.

108838628649 is the 164954-th centered octagonal number.

It is an amenable number.

108838628649 is a deficient number, since it is larger than the sum of its proper divisors (49340756988).

108838628649 is an frugal number, since it uses more digits than its factorization.

108838628649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 108838628649 in words is "one hundred eight billion, eight hundred thirty-eight million, six hundred twenty-eight thousand, six hundred forty-nine".