104683369725312 has 256 divisors, whose sum is σ = 322411523212800. Its totient is φ = 29477596151808.

The previous prime is 104683369725247. The next prime is 104683369725323. The reversal of 104683369725312 is 213527963386401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50165038 + ... + 52210130.

It is an arithmetic number, because the mean of its divisors is an integer number (1259420012550).

It is a 1-persistent number, because it is pandigital, but 2⋅104683369725312 = 209366739450624 is not.

Almost surely, 2^{104683369725312} is an apocalyptic number.

104683369725312 is a gapful number since it is divisible by the number (12) 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 104683369725312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161205761606400).

104683369725312 is an abundant number, since it is smaller than the sum of its proper divisors (217728153487488).

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

104683369725312 is a wasteful number, since it uses less digits than its factorization.

104683369725312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045393 (or 2045381 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 104683369725312 in words is "one hundred four trillion, six hundred eighty-three billion, three hundred sixty-nine million, seven hundred twenty-five thousand, three hundred twelve".