13908350750112 has 480 divisors, whose sum is σ = 52079482224000. Its totient is φ = 3541647255552.

The previous prime is 13908350750101. The next prime is 13908350750149. The reversal of 13908350750112 is 21105705380931.

13908350750112 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 83 + 50 + 7 + 501 + 12 = 666.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 5823639 + ... + 7856937.

It is an arithmetic number, because the mean of its divisors is an integer number (108498921300).

Almost surely, 2^{13908350750112} is an apocalyptic number.

13908350750112 is a gapful number since it is divisible by the number (12) 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 13908350750112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26039741112000).

13908350750112 is an abundant number, since it is smaller than the sum of its proper divisors (38171131473888).

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

13908350750112 is a wasteful number, since it uses less digits than its factorization.

13908350750112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033370 (or 2033353 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 13908350750112 in words is "thirteen trillion, nine hundred eight billion, three hundred fifty million, seven hundred fifty thousand, one hundred twelve".