10946069818320 has 320 divisors, whose sum is σ = 41839862077440. Its totient is φ = 2305275807744.

The previous prime is 10946069818319. The next prime is 10946069818367. The reversal of 10946069818320 is 2381896064901.

10946069818320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 11488351 + ... + 12404609.

It is an arithmetic number, because the mean of its divisors is an integer number (130749568992).

Almost surely, 2^{10946069818320} is an apocalyptic number.

10946069818320 is a gapful number since it is divisible by the number (10) 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 10946069818320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20919931038720).

10946069818320 is an abundant number, since it is smaller than the sum of its proper divisors (30893792259120).

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

10946069818320 is a wasteful number, since it uses less digits than its factorization.

10946069818320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916842 (or 916836 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 10946069818320 in words is "ten trillion, nine hundred forty-six billion, sixty-nine million, eight hundred eighteen thousand, three hundred twenty".