791049825216 has 504 divisors, whose sum is σ = 2711157924384. Its totient is φ = 220391055360.

The previous prime is 791049825211. The next prime is 791049825217. The reversal of 791049825216 is 612528940197.

It is a happy number.

791049825216 is a `hidden beast` number, since 7 + 9 + 104 + 9 + 8 + 2 + 521 + 6 = 666.

791049825216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791049825211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 396913116 + ... + 396915108.

It is an arithmetic number, because the mean of its divisors is an integer number (5379281596).

Almost surely, 2^791049825216 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 791049825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355578962192).

791049825216 is an abundant number, since it is smaller than the sum of its proper divisors (1920108099168).

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

791049825216 is an equidigital number, since it uses as much as digits as its factorization.

791049825216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 791049825216 in words is "seven hundred ninety-one billion, forty-nine million, eight hundred twenty-five thousand, two hundred sixteen".