123462264321 has 72 divisors (see below), whose sum is σ = 198304745184. Its totient is φ = 73406615040.

The previous prime is 123462264313. The next prime is 123462264371.

123462264321 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 6 + 2 + 2 + 643 + 2 + 1 = 666.

123462264321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123462264321 - 2³ = 123462264313 is a prime.

It is a super-2 number, since 2×123462264321² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123462264371) 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 71 ways as a sum of consecutive naturals, for example, 156876690 + ... + 156877476.

It is an arithmetic number, because the mean of its divisors is an integer number (2754232572).

Almost surely, 2^123462264321 is an apocalyptic number.

123462264321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123462264321 is a deficient number, since it is larger than the sum of its proper divisors (74842480863).

123462264321 is a wasteful number, since it uses less digits than its factorization.

123462264321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1221 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 123462 and 264321, that added together give a palindrome (387783).

The spelling of 123462264321 in words is "one hundred twenty-three billion, four hundred sixty-two million, two hundred sixty-four thousand, three hundred twenty-one".