123843686400 has 1248 divisors, whose sum is σ = 533030963200. Its totient is φ = 27948810240.

The previous prime is 123843686333. The next prime is 123843686401. The reversal of 123843686400 is 4686348321.

123843686400 is a `hidden beast` number, since 1 + 238 + 4 + 3 + 6 + 8 + 6 + 400 = 666.

It is a super-2 number, since 2×123843686400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123843686401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1567641561 + ... + 1567641639.

Almost surely, 2^123843686400 is an apocalyptic number.

123843686400 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 123843686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266515481600).

123843686400 is an abundant number, since it is smaller than the sum of its proper divisors (409187276800).

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

123843686400 is an frugal number, since it uses more digits than its factorization.

123843686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 123843686400 in words is "one hundred twenty-three billion, eight hundred forty-three million, six hundred eighty-six thousand, four hundred".