705513647016 has 192 divisors, whose sum is σ = 2035598947200. Its totient is φ = 220265447424.

The previous prime is 705513646991. The next prime is 705513647023. The reversal of 705513647016 is 610746315507.

705513647016 is a `hidden beast` number, since 7 + 0 + 5 + 513 + 64 + 70 + 1 + 6 = 666.

705513647016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×705513647016² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25095880 + ... + 25123976.

It is an arithmetic number, because the mean of its divisors is an integer number (10602077850).

Almost surely, 2^705513647016 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 705513647016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017799473600).

705513647016 is an abundant number, since it is smaller than the sum of its proper divisors (1330085300184).

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

705513647016 is a wasteful number, since it uses less digits than its factorization.

705513647016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28448 (or 28441 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 705513647016 in words is "seven hundred five billion, five hundred thirteen million, six hundred forty-seven thousand, sixteen".