705132160761042 has 192 divisors, whose sum is σ = 1821817322357760. Its totient is φ = 192954355089408.

The previous prime is 705132160761029. The next prime is 705132160761109. The reversal of 705132160761042 is 240167061231507.

705132160761042 is a `hidden beast` number, since 7 + 0 + 5 + 1 + 3 + 21 + 6 + 0 + 7 + 610 + 4 + 2 = 666.

705132160761042 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 2×705132160761042² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44228418 + ... + 58020834.

It is an arithmetic number, because the mean of its divisors is an integer number (9488631887280).

Almost surely, 2^{705132160761042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705132160761042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910908661178880).

705132160761042 is an abundant number, since it is smaller than the sum of its proper divisors (1116685161596718).

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

705132160761042 is a wasteful number, since it uses less digits than its factorization.

705132160761042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13792665 (or 13792662 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 705132160761042 in words is "seven hundred five trillion, one hundred thirty-two billion, one hundred sixty million, seven hundred sixty-one thousand, forty-two".