10168110269226 has 576 divisors, whose sum is σ = 29071134892800. Its totient is φ = 2655606425472.

The previous prime is 10168110269209. The next prime is 10168110269249. The reversal of 10168110269226 is 62296201186101.

10168110269226 is a `hidden beast` number, since 1 + 0 + 168 + 1 + 1 + 0 + 269 + 226 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5702809131 + ... + 5702810913.

It is an arithmetic number, because the mean of its divisors is an integer number (50470720300).

Almost surely, 2^{10168110269226} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10168110269226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14535567446400).

10168110269226 is an abundant number, since it is smaller than the sum of its proper divisors (18903024623574).

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

10168110269226 is a wasteful number, since it uses less digits than its factorization.

10168110269226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10168110269226 in words is "ten trillion, one hundred sixty-eight billion, one hundred ten million, two hundred sixty-nine thousand, two hundred twenty-six".