705689994312 has 320 divisors, whose sum is σ = 2205962035200. Its totient is φ = 209459312640.

The previous prime is 705689994301. The next prime is 705689994319. The reversal of 705689994312 is 213499986507.

705689994312 is a `hidden beast` number, since 70 + 56 + 89 + 9 + 9 + 431 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 705689994312.

It is not an unprimeable number, because it can be changed into a prime (705689994319) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 196953273 + ... + 196956855.

It is an arithmetic number, because the mean of its divisors is an integer number (6893631360).

It is a 1-persistent number, because it is pandigital, but 2⋅705689994312 = 1411379988624 is not.

Almost surely, 2^705689994312 is an apocalyptic number.

705689994312 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 705689994312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102981017600).

705689994312 is an abundant number, since it is smaller than the sum of its proper divisors (1500272040888).

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

705689994312 is a wasteful number, since it uses less digits than its factorization.

705689994312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 705689994312 in words is "seven hundred five billion, six hundred eighty-nine million, nine hundred ninety-four thousand, three hundred twelve".