26144113848192 has 640 divisors, whose sum is σ = 81296892230400. Its totient is φ = 8330895360000.

The previous prime is 26144113848187. The next prime is 26144113848199. The reversal of 26144113848192 is 29184831144162.

26144113848192 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 41 + 1 + 38 + 481 + 92 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (26144113848199) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14048421342 + ... + 14048423202.

It is an arithmetic number, because the mean of its divisors is an integer number (127026394110).

Almost surely, 2^{26144113848192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26144113848192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40648446115200).

26144113848192 is an abundant number, since it is smaller than the sum of its proper divisors (55152778382208).

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

26144113848192 is a wasteful number, since it uses less digits than its factorization.

26144113848192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2407 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 26144113848192 in words is "twenty-six trillion, one hundred forty-four billion, one hundred thirteen million, eight hundred forty-eight thousand, one hundred ninety-two".