10909318113408 has 512 divisors, whose sum is σ = 34265118182400. Its totient is φ = 3031803740160.

The previous prime is 10909318113401. The next prime is 10909318113493. The reversal of 10909318113408 is 80431181390901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10909318113401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6738305623 + ... + 6738307241.

It is an arithmetic number, because the mean of its divisors is an integer number (66924058950).

Almost surely, 2^{10909318113408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10909318113408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17132559091200).

10909318113408 is an abundant number, since it is smaller than the sum of its proper divisors (23355800068992).

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

10909318113408 is a wasteful number, since it uses less digits than its factorization.

10909318113408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 10909318113408 in words is "ten trillion, nine hundred nine billion, three hundred eighteen million, one hundred thirteen thousand, four hundred eight".