12913115316480 has 576 divisors, whose sum is σ = 46922654634240. Its totient is φ = 3361023590400.

The previous prime is 12913115316467. The next prime is 12913115316481. The reversal of 12913115316480 is 8461351131921.

12913115316480 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 3 + 1 + 153 + 16 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12913115316481) 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 63 ways as a sum of consecutive naturals, for example, 3211416870 + ... + 3211420890.

Almost surely, 2^{12913115316480} is an apocalyptic number.

12913115316480 is a gapful number since it is divisible by the number (10) 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 12913115316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23461327317120).

12913115316480 is an abundant number, since it is smaller than the sum of its proper divisors (34009539317760).

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

12913115316480 is a wasteful number, since it uses less digits than its factorization.

12913115316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6255 (or 6235 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12913115316480 in words is "twelve trillion, nine hundred thirteen billion, one hundred fifteen million, three hundred sixteen thousand, four hundred eighty".