705352134564 has 360 divisors, whose sum is σ = 2438272316480. Its totient is φ = 173564519040.

The previous prime is 705352134551. The next prime is 705352134569. The reversal of 705352134564 is 465431253507.

705352134564 is a `hidden beast` number, since 7 + 0 + 5 + 3 + 52 + 1 + 34 + 564 = 666.

It is not an unprimeable number, because it can be changed into a prime (705352134569) 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 119 ways as a sum of consecutive naturals, for example, 5146494 + ... + 5281770.

Almost surely, 2^705352134564 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 705352134564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219136158240).

705352134564 is an abundant number, since it is smaller than the sum of its proper divisors (1732920181916).

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

705352134564 is a wasteful number, since it uses less digits than its factorization.

705352134564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135341 (or 135319 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 705352134564 in words is "seven hundred five billion, three hundred fifty-two million, one hundred thirty-four thousand, five hundred sixty-four".