12614146226304 has 512 divisors, whose sum is σ = 40141041745920. Its totient is φ = 3433881600000.

The previous prime is 12614146226249. The next prime is 12614146226323. The reversal of 12614146226304 is 40362264141621.

12614146226304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4203312804 + ... + 4203315804.

It is an arithmetic number, because the mean of its divisors is an integer number (78400472160).

Almost surely, 2^{12614146226304} is an apocalyptic number.

12614146226304 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 12614146226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20070520872960).

12614146226304 is an abundant number, since it is smaller than the sum of its proper divisors (27526895519616).

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

12614146226304 is a wasteful number, since it uses less digits than its factorization.

12614146226304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 12614146226304 in words is "twelve trillion, six hundred fourteen billion, one hundred forty-six million, two hundred twenty-six thousand, three hundred four".