794007251712 has 216 divisors, whose sum is σ = 2364946263680. Its totient is φ = 255938641920.

The previous prime is 794007251663. The next prime is 794007251717. The reversal of 794007251712 is 217152700497.

794007251712 is a `hidden beast` number, since 7 + 9 + 400 + 72 + 5 + 171 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (794007251717) 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 23 ways as a sum of consecutive naturals, for example, 118346214 + ... + 118352922.

Almost surely, 2^794007251712 is an apocalyptic number.

794007251712 is a gapful number since it is divisible by the number (72) 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 794007251712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182473131840).

794007251712 is an abundant number, since it is smaller than the sum of its proper divisors (1570939011968).

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

794007251712 is a wasteful number, since it uses less digits than its factorization.

794007251712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8419 (or 8402 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 794007251712 in words is "seven hundred ninety-four billion, seven million, two hundred fifty-one thousand, seven hundred twelve".