26348409543456 has 2304 divisors, whose sum is σ = 111333180672000. Its totient is φ = 5942615777280.

The previous prime is 26348409543439. The next prime is 26348409543473. The reversal of 26348409543456 is 65434590484362.

26348409543456 is a `hidden beast` number, since 2 + 6 + 3 + 4 + 8 + 40 + 9 + 543 + 45 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (26348409543439) and next prime (26348409543473).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 26348409543393 and 26348409543402.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18059224455 + ... + 18059225913.

It is an arithmetic number, because the mean of its divisors is an integer number (48321693000).

Almost surely, 2^{26348409543456} is an apocalyptic number.

26348409543456 is a gapful number since it is divisible by the number (26) 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 26348409543456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55666590336000).

26348409543456 is an abundant number, since it is smaller than the sum of its proper divisors (84984771128544).

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

26348409543456 is a wasteful number, since it uses less digits than its factorization.

26348409543456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 63.

The spelling of 26348409543456 in words is "twenty-six trillion, three hundred forty-eight billion, four hundred nine million, five hundred forty-three thousand, four hundred fifty-six".