12978847045164 has 768 divisors, whose sum is σ = 45042621087744. Its totient is φ = 2796451430400.

The previous prime is 12978847045141. The next prime is 12978847045183. The reversal of 12978847045164 is 46154074887921.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 12978847045095 and 12978847045104.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 393484617 + ... + 393517599.

It is an arithmetic number, because the mean of its divisors is an integer number (58649246208).

Almost surely, 2^{12978847045164} is an apocalyptic number.

12978847045164 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 12978847045164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22521310543872).

12978847045164 is an abundant number, since it is smaller than the sum of its proper divisors (32063774042580).

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

12978847045164 is a wasteful number, since it uses less digits than its factorization.

12978847045164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33126 (or 33124 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 66.

The spelling of 12978847045164 in words is "twelve trillion, nine hundred seventy-eight billion, eight hundred forty-seven million, forty-five thousand, one hundred sixty-four".