13906530206208 has 640 divisors, whose sum is σ = 46774506240000. Its totient is φ = 4055700160512.

The previous prime is 13906530206167. The next prime is 13906530206221. The reversal of 13906530206208 is 80260203560931.

13906530206208 is a `hidden beast` number, since 1 + 3 + 90 + 6 + 530 + 2 + 0 + 6 + 20 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175151863 + ... + 175231241.

It is an arithmetic number, because the mean of its divisors is an integer number (73085166000).

Almost surely, 2^{13906530206208} is an apocalyptic number.

13906530206208 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 13906530206208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23387253120000).

13906530206208 is an abundant number, since it is smaller than the sum of its proper divisors (32867976033792).

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

13906530206208 is a wasteful number, since it uses less digits than its factorization.

13906530206208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79477 (or 79455 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13906530206208 in words is "thirteen trillion, nine hundred six billion, five hundred thirty million, two hundred six thousand, two hundred eight".