12413945088 has 288 divisors, whose sum is σ = 40221014400. Its totient is φ = 3759243264.

The previous prime is 12413945039. The next prime is 12413945099. The reversal of 12413945088 is 88054931421.

12413945088 is a `hidden beast` number, since 1 + 2 + 4 + 139 + 4 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3405795 + ... + 3409437.

It is an arithmetic number, because the mean of its divisors is an integer number (139656300).

Almost surely, 2^12413945088 is an apocalyptic number.

12413945088 is a gapful number since it is divisible by the number (18) 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 12413945088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20110507200).

12413945088 is an abundant number, since it is smaller than the sum of its proper divisors (27807069312).

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

12413945088 is a wasteful number, since it uses less digits than its factorization.

12413945088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12413945088 in words is "twelve billion, four hundred thirteen million, nine hundred forty-five thousand, eighty-eight".