123564465321 has 16 divisors (see below), whose sum is σ = 180090336000. Its totient is φ = 74737469520.

The previous prime is 123564465293. The next prime is 123564465359.

123564465321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123564465321 - 2¹¹ = 123564463273 is a prime.

It is a super-2 number, since 2×123564465321² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123564465391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3735415 + ... + 3768348.

It is an arithmetic number, because the mean of its divisors is an integer number (11255646000).

Almost surely, 2^123564465321 is an apocalyptic number.

123564465321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123564465321 is a deficient number, since it is larger than the sum of its proper divisors (56525870679).

123564465321 is a wasteful number, since it uses less digits than its factorization.

123564465321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7504276.

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 123564 and 465321, that added together give a palindrome (588885).

The spelling of 123564465321 in words is "one hundred twenty-three billion, five hundred sixty-four million, four hundred sixty-five thousand, three hundred twenty-one".