84465056394 has 80 divisors (see below), whose sum is σ = 194997115368. Its totient is φ = 27307041408.

The previous prime is 84465056381. The next prime is 84465056441. The reversal of 84465056394 is 49365056448.

84465056394 is a `hidden beast` number, since 8 + 4 + 46 + 505 + 6 + 3 + 94 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56637812169 + 27827244225 = 237987^2 + 166815^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 84465056394.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1877872 + ... + 1922324.

Almost surely, 2^84465056394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84465056394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97498557684).

84465056394 is an abundant number, since it is smaller than the sum of its proper divisors (110532058974).

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

84465056394 is a wasteful number, since it uses less digits than its factorization.

84465056394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44821 (or 44812 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

Adding to 84465056394 its sum of digits (54), we get a palindrome (84465056448).

The spelling of 84465056394 in words is "eighty-four billion, four hundred sixty-five million, fifty-six thousand, three hundred ninety-four".