12485657202336 has 216 divisors, whose sum is σ = 36370693997820. Its totient is φ = 4062506876928.

The previous prime is 12485657202331. The next prime is 12485657202349. The reversal of 12485657202336 is 63320275658421.

12485657202336 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 56 + 57 + 202 + 336 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4147169331600 + 8338487870736 = 2036460^2 + 2887644^2 .

It is not an unprimeable number, because it can be changed into a prime (12485657202331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 148829010 + ... + 148912878.

Almost surely, 2^{12485657202336} is an apocalyptic number.

12485657202336 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 12485657202336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18185346998910).

12485657202336 is an abundant number, since it is smaller than the sum of its proper divisors (23885036795484).

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

12485657202336 is an equidigital number, since it uses as much as digits as its factorization.

12485657202336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84128 (or 84044 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 12485657202336 in words is "twelve trillion, four hundred eighty-five billion, six hundred fifty-seven million, two hundred two thousand, three hundred thirty-six".