123693769728 has 264 divisors, whose sum is σ = 366805172448. Its totient is φ = 40125431808.

The previous prime is 123693769723. The next prime is 123693769739. The reversal of 123693769728 is 827967396321.

123693769728 is a `hidden beast` number, since 1 + 236 + 9 + 376 + 9 + 7 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (123693769723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181103275 + ... + 181103957.

It is an arithmetic number, because the mean of its divisors is an integer number (1389413532).

Almost surely, 2^123693769728 is an apocalyptic number.

123693769728 is a gapful number since it is divisible by the number (18) 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 123693769728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183402586224).

123693769728 is an abundant number, since it is smaller than the sum of its proper divisors (243111402720).

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

123693769728 is a wasteful number, since it uses less digits than its factorization.

123693769728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1188 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 123693769728 in words is "one hundred twenty-three billion, six hundred ninety-three million, seven hundred sixty-nine thousand, seven hundred twenty-eight".