12378268311552 has 1344 divisors, whose sum is σ = 43861706284032. Its totient is φ = 3340055347200.

The previous prime is 12378268311551. The next prime is 12378268311611. The reversal of 12378268311552 is 25511386287321.

12378268311552 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 8 + 2 + 6 + 83 + 1 + 1 + 552 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12378268311551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39547182948 + ... + 39547183260.

It is an arithmetic number, because the mean of its divisors is an integer number (32635198128).

Almost surely, 2^{12378268311552} is an apocalyptic number.

12378268311552 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 12378268311552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21930853142016).

12378268311552 is an abundant number, since it is smaller than the sum of its proper divisors (31483437972480).

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

12378268311552 is a wasteful number, since it uses less digits than its factorization.

12378268311552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 373 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 12378268311552 in words is "twelve trillion, three hundred seventy-eight billion, two hundred sixty-eight million, three hundred eleven thousand, five hundred fifty-two".