12145738752 has 528 divisors, whose sum is σ = 43871959040. Its totient is φ = 3278610432.

The previous prime is 12145738747. The next prime is 12145738811. The reversal of 12145738752 is 25783754121.

12145738752 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 573 + 8 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12145738698 and 12145738707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33094473 + ... + 33094839.

Almost surely, 2^12145738752 is an apocalyptic number.

12145738752 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 12145738752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21935979520).

12145738752 is an abundant number, since it is smaller than the sum of its proper divisors (31726220288).

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

12145738752 is an equidigital number, since it uses as much as digits as its factorization.

12145738752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 398 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The spelling of 12145738752 in words is "twelve billion, one hundred forty-five million, seven hundred thirty-eight thousand, seven hundred fifty-two".