12335869728 has 576 divisors, whose sum is σ = 45378144000. Its totient is φ = 3231581184.

The previous prime is 12335869699. The next prime is 12335869739. The reversal of 12335869728 is 82796853321.

12335869728 is a `hidden beast` number, since 1 + 2 + 33 + 586 + 9 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82790998 + ... + 82791146.

It is an arithmetic number, because the mean of its divisors is an integer number (78781500).

Almost surely, 2^12335869728 is an apocalyptic number.

12335869728 is a gapful number since it is divisible by the number (18) 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 12335869728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22689072000).

12335869728 is an abundant number, since it is smaller than the sum of its proper divisors (33042274272).

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

12335869728 is an equidigital number, since it uses as much as digits as its factorization.

12335869728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 174 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 12335869728 in words is "twelve billion, three hundred thirty-five million, eight hundred sixty-nine thousand, seven hundred twenty-eight".