798905746038456 has 768 divisors, whose sum is σ = 2647691922816000. Its totient is φ = 222477736320000.

The previous prime is 798905746038443. The next prime is 798905746038497. The reversal of 798905746038456 is 654830647509897.

798905746038456 is a `hidden beast` number, since 7 + 9 + 8 + 9 + 0 + 5 + 74 + 60 + 38 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51012427266 + ... + 51012442926.

It is an arithmetic number, because the mean of its divisors is an integer number (3447515524500).

Almost surely, 2^{798905746038456} 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 798905746038456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323845961408000).

798905746038456 is an abundant number, since it is smaller than the sum of its proper divisors (1848786176777544).

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

798905746038456 is a wasteful number, since it uses less digits than its factorization.

798905746038456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16441 (or 16424 counting only the distinct ones).

The product of its (nonzero) digits is 10973491200, while the sum is 81.

The spelling of 798905746038456 in words is "seven hundred ninety-eight trillion, nine hundred five billion, seven hundred forty-six million, thirty-eight thousand, four hundred fifty-six".