26434937498112 has 480 divisors, whose sum is σ = 90453508104960. Its totient is φ = 7326529781760.

The previous prime is 26434937498111. The next prime is 26434937498171. The reversal of 26434937498112 is 21189473943462.

26434937498112 is a `hidden beast` number, since 2 + 6 + 43 + 4 + 93 + 7 + 498 + 1 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26434937498112.

It is not an unprimeable number, because it can be changed into a prime (26434937498111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71640873 + ... + 72008919.

It is an arithmetic number, because the mean of its divisors is an integer number (188444808552).

Almost surely, 2^{26434937498112} is an apocalyptic number.

26434937498112 is a gapful number since it is divisible by the number (22) 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 26434937498112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45226754052480).

26434937498112 is an abundant number, since it is smaller than the sum of its proper divisors (64018570606848).

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

26434937498112 is a wasteful number, since it uses less digits than its factorization.

26434937498112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368204 (or 368185 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 26434937498112 in words is "twenty-six trillion, four hundred thirty-four billion, nine hundred thirty-seven million, four hundred ninety-eight thousand, one hundred twelve".