10918981304064 has 648 divisors, whose sum is σ = 33592381921280. Its totient is φ = 3410035200000.

The previous prime is 10918981304059. The next prime is 10918981304111. The reversal of 10918981304064 is 46040318981901.

10918981304064 is a `hidden beast` number, since 1 + 0 + 9 + 18 + 98 + 130 + 406 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10918981304064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14539255689 + ... + 14539256439.

Almost surely, 2^{10918981304064} 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 10918981304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796190960640).

10918981304064 is an abundant number, since it is smaller than the sum of its proper divisors (22673400617216).

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

10918981304064 is a wasteful number, since it uses less digits than its factorization.

10918981304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 10918981304064 in words is "ten trillion, nine hundred eighteen billion, nine hundred eighty-one million, three hundred four thousand, sixty-four".