12614656001304 has 256 divisors, whose sum is σ = 39602533478400. Its totient is φ = 3264866131968.

The previous prime is 12614656001303. The next prime is 12614656001341. The reversal of 12614656001304 is 40310065641621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12614656001303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26014977 + ... + 26495439.

It is an arithmetic number, because the mean of its divisors is an integer number (154697396400).

Almost surely, 2^{12614656001304} is an apocalyptic number.

12614656001304 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 12614656001304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19801266739200).

12614656001304 is an abundant number, since it is smaller than the sum of its proper divisors (26987877477096).

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

12614656001304 is a wasteful number, since it uses less digits than its factorization.

12614656001304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480842 (or 480838 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 12614656001304 in words is "twelve trillion, six hundred fourteen billion, six hundred fifty-six million, one thousand, three hundred four".