12852268391424 has 2112 divisors, whose sum is σ = 48174052147200. Its totient is φ = 2967510712320.

The previous prime is 12852268391423. The next prime is 12852268391429. The reversal of 12852268391424 is 42419386225821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12852268391423) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101198963649 + ... + 101198963775.

Almost surely, 2^{12852268391424} is an apocalyptic number.

12852268391424 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 12852268391424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24087026073600).

12852268391424 is an abundant number, since it is smaller than the sum of its proper divisors (35321783755776).

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

12852268391424 is a wasteful number, since it uses less digits than its factorization.

12852268391424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 281 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 57.

The spelling of 12852268391424 in words is "twelve trillion, eight hundred fifty-two billion, two hundred sixty-eight million, three hundred ninety-one thousand, four hundred twenty-four".