123862676268321 has 81 divisors (see below), whose sum is σ = 183780114731577. Its totient is φ = 80387819677440.

The previous prime is 123862676268271. The next prime is 123862676268323.

The square root of 123862676268321 is 11129361.

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

123862676268321 is a `hidden beast` number, since 1 + 2 + 3 + 86 + 267 + 6 + 268 + 32 + 1 = 666.

123862676268321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 8430515496225 + 115432160772096 = 2903535^2 + 10743936^2 .

It is not a de Polignac number, because 123862676268321 - 2⁹ = 123862676267809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123862676268323) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 216922374966 + ... + 216922375536.

Almost surely, 2^{123862676268321} is an apocalyptic number.

123862676268321 is the 11129361-st square number.

123862676268321 is the 5564681-st centered octagonal number.

It is an amenable number.

123862676268321 is a deficient number, since it is larger than the sum of its proper divisors (59917438463256).

123862676268321 is an frugal number, since it uses more digits than its factorization.

123862676268321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 736 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 123862676268321 in words is "one hundred twenty-three trillion, eight hundred sixty-two billion, six hundred seventy-six million, two hundred sixty-eight thousand, three hundred twenty-one".