10945980976164 has 192 divisors, whose sum is σ = 29328752275200. Its totient is φ = 3147536351232.

The previous prime is 10945980976159. The next prime is 10945980976247. The reversal of 10945980976164 is 46167908954901.

It is a happy number.

10945980976164 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 63 ways as a sum of consecutive naturals, for example, 669921507 + ... + 669937845.

It is an arithmetic number, because the mean of its divisors is an integer number (152753918100).

Almost surely, 2^{10945980976164} 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 10945980976164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664376137600).

10945980976164 is an abundant number, since it is smaller than the sum of its proper divisors (18382771299036).

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

10945980976164 is a wasteful number, since it uses less digits than its factorization.

10945980976164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18142 (or 18140 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 69.

The spelling of 10945980976164 in words is "ten trillion, nine hundred forty-five billion, nine hundred eighty million, nine hundred seventy-six thousand, one hundred sixty-four".