706505456124405 has 48 divisors (see below), whose sum is σ = 1403367163421184. Its totient is φ = 322093884810240.

The previous prime is 706505456124341. The next prime is 706505456124541. The reversal of 706505456124405 is 504421654505607.

706505456124405 is a `hidden beast` number, since 7 + 0 + 6 + 5 + 0 + 54 + 561 + 24 + 4 + 0 + 5 = 666.

It is not a de Polignac number, because 706505456124405 - 2⁶ = 706505456124341 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3055571676 + ... + 3055802885.

It is an arithmetic number, because the mean of its divisors is an integer number (29236815904608).

Almost surely, 2^{706505456124405} is an apocalyptic number.

It is an amenable number.

706505456124405 is a deficient number, since it is larger than the sum of its proper divisors (696861707296779).

706505456124405 is a wasteful number, since it uses less digits than its factorization.

706505456124405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111374946 (or 6111374943 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 706505456124405 in words is "seven hundred six trillion, five hundred five billion, four hundred fifty-six million, one hundred twenty-four thousand, four hundred five".