10818963028368 has 640 divisors, whose sum is σ = 36090904320000. Its totient is φ = 3066725007360.

The previous prime is 10818963028339. The next prime is 10818963028369. The reversal of 10818963028368 is 86382036981801.

10818963028368 is a `hidden beast` number, since 10 + 8 + 189 + 6 + 302 + 83 + 68 = 666.

It is a super-2 number, since 2×10818963028368² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10818963028369) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13747093671 + ... + 13747094457.

It is an arithmetic number, because the mean of its divisors is an integer number (56392038000).

Almost surely, 2^{10818963028368} is an apocalyptic number.

10818963028368 is a gapful number since it is divisible by the number (18) 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 10818963028368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18045452160000).

10818963028368 is an abundant number, since it is smaller than the sum of its proper divisors (25271941291632).

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

10818963028368 is a wasteful number, since it uses less digits than its factorization.

10818963028368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 10818963028368 in words is "ten trillion, eight hundred eighteen billion, nine hundred sixty-three million, twenty-eight thousand, three hundred sixty-eight".