123884992729 has 27 divisors (see below), whose sum is σ = 131344250583. Its totient is φ = 116843772864.

The previous prime is 123884992727. The next prime is 123884992753. The reversal of 123884992729 is 927299488321.

The square root of 123884992729 is 351973.

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

It can be written as a sum of positive squares in 13 ways, for example, as 17598025 + 123867394704 = 4195^2 + 351948^2 .

It is not a de Polignac number, because 123884992729 - 2¹ = 123884992727 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123884992727) 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, 540982387 + ... + 540982615.

Almost surely, 2^123884992729 is an apocalyptic number.

123884992729 is the 351973-rd square number.

123884992729 is the 175987-th centered octagonal number.

It is an amenable number.

123884992729 is a deficient number, since it is larger than the sum of its proper divisors (7459257854).

123884992729 is an frugal number, since it uses more digits than its factorization.

123884992729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 64.

Multiplying 123884992729 by its sum of digits (64), we get a square (7928639534656 = 2815784²).

The spelling of 123884992729 in words is "one hundred twenty-three billion, eight hundred eighty-four million, nine hundred ninety-two thousand, seven hundred twenty-nine".