12858353664 has 384 divisors, whose sum is σ = 40085136000. Its totient is φ = 3630956544.

The previous prime is 12858353639. The next prime is 12858353687. The reversal of 12858353664 is 46635385821.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56149902 + ... + 56150130.

It is an arithmetic number, because the mean of its divisors is an integer number (104388375).

Almost surely, 2^12858353664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12858353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20042568000).

12858353664 is an abundant number, since it is smaller than the sum of its proper divisors (27226782336).

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

12858353664 is a wasteful number, since it uses less digits than its factorization.

12858353664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The spelling of 12858353664 in words is "twelve billion, eight hundred fifty-eight million, three hundred fifty-three thousand, six hundred sixty-four".