12145833209664 has 3360 divisors, whose sum is σ = 52067428300800. Its totient is φ = 2760198819840.

The previous prime is 12145833209647. The next prime is 12145833209723. The reversal of 12145833209664 is 46690233854121.

It is a happy number.

12145833209664 is a `hidden beast` number, since 1 + 21 + 4 + 583 + 32 + 0 + 9 + 6 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12145833209664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 418821834802 + ... + 418821834830.

Almost surely, 2^{12145833209664} is an apocalyptic number.

12145833209664 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 12145833209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26033714150400).

12145833209664 is an abundant number, since it is smaller than the sum of its proper divisors (39921595091136).

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

12145833209664 is an equidigital number, since it uses as much as digits as its factorization.

12145833209664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 12145833209664 in words is "twelve trillion, one hundred forty-five billion, eight hundred thirty-three million, two hundred nine thousand, six hundred sixty-four".