123468888864321 has 972 divisors, whose sum is σ = 259134861228516. Its totient is φ = 56401863598080.

The previous prime is 123468888864319. The next prime is 123468888864331.

123468888864321 is a `hidden beast` number, since 1 + 2 + 3 + 468 + 8 + 8 + 88 + 64 + 3 + 21 = 666.

123468888864321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 18 ways, for example, as 44395089265296 + 79073799599025 = 6662964^2 + 8892345^2 .

It is not a de Polignac number, because 123468888864321 - 2¹ = 123468888864319 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123468888864321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123468888864331) by changing a digit.

It is a polite number, since it can be written in 971 ways as a sum of consecutive naturals, for example, 901232765365 + ... + 901232765501.

Almost surely, 2^{123468888864321} is an apocalyptic number.

123468888864321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123468888864321 is an abundant number, since it is smaller than the sum of its proper divisors (135665972364195).

123468888864321 is a wasteful number, since it uses less digits than its factorization.

123468888864321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 281 counting only the distinct ones).

The product of its digits is 679477248, while the sum is 72.

It can be divided in two parts, 1234688 and 88864321, that added together give a palindrome (90099009).

The spelling of 123468888864321 in words is "one hundred twenty-three trillion, four hundred sixty-eight billion, eight hundred eighty-eight million, eight hundred sixty-four thousand, three hundred twenty-one".