13306948436418 has 192 divisors, whose sum is σ = 33554676621312. Its totient is φ = 3425901091200.

The previous prime is 13306948436387. The next prime is 13306948436437. The reversal of 13306948436418 is 81463484960331.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2575369671 + ... + 2575374837.

It is an arithmetic number, because the mean of its divisors is an integer number (174763940736).

Almost surely, 2^{13306948436418} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13306948436418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777338310656).

13306948436418 is an abundant number, since it is smaller than the sum of its proper divisors (20247728184894).

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

13306948436418 is a wasteful number, since it uses less digits than its factorization.

13306948436418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7829 (or 7786 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 60.

The spelling of 13306948436418 in words is "thirteen trillion, three hundred six billion, nine hundred forty-eight million, four hundred thirty-six thousand, four hundred eighteen".