10846518646968 has 192 divisors, whose sum is σ = 31353049728000. Its totient is φ = 3377589186816.

The previous prime is 10846518646961. The next prime is 10846518646969. The reversal of 10846518646968 is 86964681564801.

10846518646968 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 6 + 518 + 6 + 46 + 9 + 68 = 666.

10846518646968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10846518646896 and 10846518646905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10846518646961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86070421 + ... + 86196347.

It is an arithmetic number, because the mean of its divisors is an integer number (163297134000).

Almost surely, 2^{10846518646968} is an apocalyptic number.

10846518646968 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 10846518646968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676524864000).

10846518646968 is an abundant number, since it is smaller than the sum of its proper divisors (20506531081032).

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

10846518646968 is a wasteful number, since it uses less digits than its factorization.

10846518646968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126834 (or 126827 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 10846518646968 in words is "ten trillion, eight hundred forty-six billion, five hundred eighteen million, six hundred forty-six thousand, nine hundred sixty-eight".