10966918746168 has 512 divisors, whose sum is σ = 38402618572800. Its totient is φ = 2817073728000.

The previous prime is 10966918746139. The next prime is 10966918746187. The reversal of 10966918746168 is 86164781966901.

10966918746168 is a `hidden beast` number, since 1 + 0 + 96 + 6 + 9 + 18 + 7 + 461 + 68 = 666.

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 = 10966918746096 and 10966918746105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 570085446 + ... + 570104682.

It is an arithmetic number, because the mean of its divisors is an integer number (75005114400).

Almost surely, 2^{10966918746168} is an apocalyptic number.

10966918746168 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 10966918746168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19201309286400).

10966918746168 is an abundant number, since it is smaller than the sum of its proper divisors (27435699826632).

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

10966918746168 is a wasteful number, since it uses less digits than its factorization.

10966918746168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19648 (or 19638 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 10966918746168 in words is "ten trillion, nine hundred sixty-six billion, nine hundred eighteen million, seven hundred forty-six thousand, one hundred sixty-eight".