12495845619712 has 1536 divisors, whose sum is σ = 36115588454400. Its totient is φ = 4178785075200.

The previous prime is 12495845619667. The next prime is 12495845619713. The reversal of 12495845619712 is 21791654859421.

It is a happy number.

It is a super-2 number, since 2×12495845619712² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

Its product of digits (43545600) is a multiple of the sum of its prime divisors (243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12495845619713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 150552356823 + ... + 150552356905.

It is an arithmetic number, because the mean of its divisors is an integer number (23512752900).

Almost surely, 2^{12495845619712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12495845619712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057794227200).

12495845619712 is an abundant number, since it is smaller than the sum of its proper divisors (23619742834688).

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

12495845619712 is a wasteful number, since it uses less digits than its factorization.

12495845619712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 64.

The spelling of 12495845619712 in words is "twelve trillion, four hundred ninety-five billion, eight hundred forty-five million, six hundred nineteen thousand, seven hundred twelve".