12513146016 has 96 divisors (see below), whose sum is σ = 37587473280. Its totient is φ = 3570610176.

The previous prime is 12513145999. The next prime is 12513146029. The reversal of 12513146016 is 61064131521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532140 + ... + 555156.

It is an arithmetic number, because the mean of its divisors is an integer number (391536180).

Almost surely, 2^12513146016 is an apocalyptic number.

12513146016 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 12513146016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18793736640).

12513146016 is an abundant number, since it is smaller than the sum of its proper divisors (25074327264).

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

12513146016 is a wasteful number, since it uses less digits than its factorization.

12513146016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23846 (or 23838 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 12513146016 its reverse (61064131521), we get a palindrome (73577277537).

The spelling of 12513146016 in words is "twelve billion, five hundred thirteen million, one hundred forty-six thousand, sixteen".