13245415786008 has 1152 divisors, whose sum is σ = 46453443379200. Its totient is φ = 3325229107200.

The previous prime is 13245415785949. The next prime is 13245415786069. The reversal of 13245415786008 is 80068751454231.

It is a happy number.

13245415786008 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 5 + 4 + 1 + 578 + 60 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 101110044103 + ... + 101110044233.

It is an arithmetic number, because the mean of its divisors is an integer number (40324169600).

Almost surely, 2^{13245415786008} is an apocalyptic number.

13245415786008 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 13245415786008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23226721689600).

13245415786008 is an abundant number, since it is smaller than the sum of its proper divisors (33208027593192).

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

13245415786008 is a wasteful number, since it uses less digits than its factorization.

13245415786008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 13245415786008 in words is "thirteen trillion, two hundred forty-five billion, four hundred fifteen million, seven hundred eighty-six thousand, eight".