26166314342448 has 1120 divisors, whose sum is σ = 95490859622400. Its totient is φ = 6919609213440.

The previous prime is 26166314342431. The next prime is 26166314342459. The reversal of 26166314342448 is 84424341366162.

26166314342448 is a `hidden beast` number, since 2 + 6 + 16 + 6 + 3 + 143 + 42 + 448 = 666.

It is a super-2 number, since 2×26166314342448² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 26166314342394 and 26166314342403.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2852531590 + ... + 2852540762.

Almost surely, 2^{26166314342448} is an apocalyptic number.

26166314342448 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 26166314342448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47745429811200).

26166314342448 is an abundant number, since it is smaller than the sum of its proper divisors (69324545279952).

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

26166314342448 is an equidigital number, since it uses as much as digits as its factorization.

26166314342448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9274 (or 9239 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 54.

The spelling of 26166314342448 in words is "twenty-six trillion, one hundred sixty-six billion, three hundred fourteen million, three hundred forty-two thousand, four hundred forty-eight".