12385628029488 has 320 divisors, whose sum is σ = 38482586099712. Its totient is φ = 3357911531520.

The previous prime is 12385628029487. The next prime is 12385628029501. The reversal of 12385628029488 is 88492082658321.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12385628029487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1036188120 + ... + 1036200072.

Almost surely, 2^{12385628029488} 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 12385628029488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19241293049856).

12385628029488 is an abundant number, since it is smaller than the sum of its proper divisors (26096958070224).

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

12385628029488 is a wasteful number, since it uses less digits than its factorization.

12385628029488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13932 (or 13926 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 66.

The spelling of 12385628029488 in words is "twelve trillion, three hundred eighty-five billion, six hundred twenty-eight million, twenty-nine thousand, four hundred eighty-eight".