12671652347046 has 192 divisors, whose sum is σ = 35712778728960. Its totient is φ = 3235549181760.

The previous prime is 12671652347017. The next prime is 12671652347087. The reversal of 12671652347046 is 64074325617621.

12671652347046 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 1 + 6 + 523 + 4 + 70 + 46 = 666.

12671652347046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12671652347046² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12671652346983 and 12671652347001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14036260 + ... + 14911736.

It is an arithmetic number, because the mean of its divisors is an integer number (186004055880).

Almost surely, 2^{12671652347046} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12671652347046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856389364480).

12671652347046 is an abundant number, since it is smaller than the sum of its proper divisors (23041126381914).

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

12671652347046 is a wasteful number, since it uses less digits than its factorization.

12671652347046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875624 (or 875559 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 12671652347046 in words is "twelve trillion, six hundred seventy-one billion, six hundred fifty-two million, three hundred forty-seven thousand, forty-six".