123546314989321 has 9 divisors (see below), whose sum is σ = 143717232435399. Its totient is φ = 105896774728584.

The previous prime is 123546314989267. The next prime is 123546314989343. The reversal of 123546314989321 is 123989413645321.

The square root of 123546314989321 is 11115139.

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., 30115454940025 + 93430860049296 = 5487755^2 + 9665964^2 .

It is not a de Polignac number, because 123546314989321 - 2¹⁵ = 123546314956553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123546314989321.

It is not an unprimeable number, because it can be changed into a prime (123546314989021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77012035 + ... + 78599911.

It is an arithmetic number, because the mean of its divisors is an integer number (15968581381711).

Almost surely, 2^{123546314989321} is an apocalyptic number.

123546314989321 is the 11115139-th square number.

123546314989321 is the 5557570-th centered octagonal number.

It is an amenable number.

123546314989321 is a deficient number, since it is larger than the sum of its proper divisors (20170917446078).

123546314989321 is an frugal number, since it uses more digits than its factorization.

123546314989321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175768 (or 1587884 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 61.

It can be divided in two parts, 1235463 and 14989321, that added together give a square (16224784 = 4028²).

The spelling of 123546314989321 in words is "one hundred twenty-three trillion, five hundred forty-six billion, three hundred fourteen million, nine hundred eighty-nine thousand, three hundred twenty-one".