26149116168 has 384 divisors, whose sum is σ = 94186800000. Its totient is φ = 6660734976.

The previous prime is 26149116167. The next prime is 26149116197. The reversal of 26149116168 is 86161194162.

26149116168 is a `hidden beast` number, since 2 + 6 + 14 + 9 + 11 + 616 + 8 = 666.

It is a super-3 number, since 3×26149116168³ (a number of 32 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26149116163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3414808 + ... + 3422456.

It is an arithmetic number, because the mean of its divisors is an integer number (245278125).

Almost surely, 2^26149116168 is an apocalyptic number.

26149116168 is a gapful number since it is divisible by the number (28) 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 26149116168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47093400000).

26149116168 is an abundant number, since it is smaller than the sum of its proper divisors (68037683832).

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

26149116168 is a wasteful number, since it uses less digits than its factorization.

26149116168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7714 (or 7697 counting only the distinct ones).

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

The spelling of 26149116168 in words is "twenty-six billion, one hundred forty-nine million, one hundred sixteen thousand, one hundred sixty-eight".