123623345664 has 960 divisors, whose sum is σ = 465435210240. Its totient is φ = 31890309120.

The previous prime is 123623345641. The next prime is 123623345669. The reversal of 123623345664 is 466543326321.

123623345664 is a `hidden beast` number, since 1 + 2 + 36 + 23 + 34 + 566 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123623345669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 690633127 + ... + 690633305.

It is an arithmetic number, because the mean of its divisors is an integer number (484828344).

Almost surely, 2^123623345664 is an apocalyptic number.

123623345664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123623345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232717605120).

123623345664 is an abundant number, since it is smaller than the sum of its proper divisors (341811864576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123623345664 is an equidigital number, since it uses as much as digits as its factorization.

123623345664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 265 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 123623345664 in words is "one hundred twenty-three billion, six hundred twenty-three million, three hundred forty-five thousand, six hundred sixty-four".