10946345508840 has 1024 divisors, whose sum is σ = 40632739430400. Its totient is φ = 2305652428800.

The previous prime is 10946345508799. The next prime is 10946345508851. The reversal of 10946345508840 is 4880554364901.

10946345508840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29826554337 + ... + 29826554703.

It is an arithmetic number, because the mean of its divisors is an integer number (39680409600).

Almost surely, 2^{10946345508840} is an apocalyptic number.

10946345508840 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 10946345508840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20316369715200).

10946345508840 is an abundant number, since it is smaller than the sum of its proper divisors (29686393921560).

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

10946345508840 is a wasteful number, since it uses less digits than its factorization.

10946345508840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 10946345508840 in words is "ten trillion, nine hundred forty-six billion, three hundred forty-five million, five hundred eight thousand, eight hundred forty".