705799346112 has 126 divisors (see below), whose sum is σ = 2353339771848. Its totient is φ = 201656947968.

The previous prime is 705799346101. The next prime is 705799346113. The reversal of 705799346112 is 211643997507.

705799346112 is a `hidden beast` number, since 7 + 0 + 579 + 9 + 3 + 4 + 61 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705799346113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12475308 + ... + 12531755.

Almost surely, 2^705799346112 is an apocalyptic number.

705799346112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

705799346112 is an abundant number, since it is smaller than the sum of its proper divisors (1647540425736).

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

705799346112 is a wasteful number, since it uses less digits than its factorization.

705799346112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25007095 (or 25007075 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 705799346112 in words is "seven hundred five billion, seven hundred ninety-nine million, three hundred forty-six thousand, one hundred twelve".