12683703955104 has 768 divisors, whose sum is σ = 46244330818560. Its totient is φ = 3292943155200.

The previous prime is 12683703955093. The next prime is 12683703955123. The reversal of 12683703955104 is 40155930738621.

It is a happy number.

12683703955104 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 37 + 0 + 3 + 95 + 510 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3449468914 + ... + 3449472590.

It is an arithmetic number, because the mean of its divisors is an integer number (60213972420).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12683703955104 = 25367407910208, but 3⋅12683703955104 = 38051111865312 is not.

Almost surely, 2^{12683703955104} is an apocalyptic number.

12683703955104 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 12683703955104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23122165409280).

12683703955104 is an abundant number, since it is smaller than the sum of its proper divisors (33560626863456).

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

12683703955104 is a wasteful number, since it uses less digits than its factorization.

12683703955104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 12683703955104 in words is "twelve trillion, six hundred eighty-three billion, seven hundred three million, nine hundred fifty-five thousand, one hundred four".