123544867680 has 480 divisors, whose sum is σ = 472436949600. Its totient is φ = 30404035584.

The previous prime is 123544867627. The next prime is 123544867711. The reversal of 123544867680 is 86768445321.

It is a happy number.

123544867680 is a `hidden beast` number, since 1 + 23 + 544 + 8 + 6 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28470951 + ... + 28475289.

It is an arithmetic number, because the mean of its divisors is an integer number (984243645).

Almost surely, 2^123544867680 is an apocalyptic number.

123544867680 is a gapful number since it is divisible by the number (10) 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 123544867680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236218474800).

123544867680 is an abundant number, since it is smaller than the sum of its proper divisors (348892081920).

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

123544867680 is an equidigital number, since it uses as much as digits as its factorization.

123544867680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 123544867680 in words is "one hundred twenty-three billion, five hundred forty-four million, eight hundred sixty-seven thousand, six hundred eighty".