12585194496 has 594 divisors, whose sum is σ = 45186276330. Its totient is φ = 3359784960.

The previous prime is 12585194473. The next prime is 12585194507. The reversal of 12585194496 is 69449158521.

12585194496 = 466³ + 467³ + ... + 558³.

12585194496 is a `hidden beast` number, since 1 + 2 + 585 + 19 + 4 + 49 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10849305600 + 1735888896 = 104160^2 + 41664^2 .

Its product of digits (3110400) is a multiple of the sum of its prime divisors (72).

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 53 ways as a sum of consecutive naturals, for example, 405974001 + ... + 405974031.

Almost surely, 2^12585194496 is an apocalyptic number.

12585194496 is a gapful number since it is divisible by the number (16) 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 12585194496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22593138165).

12585194496 is an abundant number, since it is smaller than the sum of its proper divisors (32601081834).

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

12585194496 is a wasteful number, since it uses less digits than its factorization.

12585194496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 72 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 12585194496 in words is "twelve billion, five hundred eighty-five million, one hundred ninety-four thousand, four hundred ninety-six".