856338240645 has 80 divisors (see below), whose sum is σ = 1642121168688. Its totient is φ = 425416458240.

The previous prime is 856338240643. The next prime is 856338240707. The reversal of 856338240645 is 546042833658.

856338240645 is a `hidden beast` number, since 8 + 5 + 6 + 338 + 240 + 64 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 75840202881 + 780498037764 = 275391^2 + 883458^2 .

It is not a de Polignac number, because 856338240645 - 2¹ = 856338240643 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 856338240591 and 856338240600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856338240643) 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 79 ways as a sum of consecutive naturals, for example, 26725 + ... + 1308965.

Almost surely, 2^856338240645 is an apocalyptic number.

856338240645 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

856338240645 is a deficient number, since it is larger than the sum of its proper divisors (785782928043).

856338240645 is a wasteful number, since it uses less digits than its factorization.

856338240645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282372 (or 1282363 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 856338240645 in words is "eight hundred fifty-six billion, three hundred thirty-eight million, two hundred forty thousand, six hundred forty-five".