84294966384 has 160 divisors (see below), whose sum is σ = 252341626880. Its totient is φ = 26911180800.

The previous prime is 84294966377. The next prime is 84294966421. The reversal of 84294966384 is 48366949248.

84294966384 is a `hidden beast` number, since 8 + 4 + 2 + 9 + 496 + 63 + 84 = 666.

It is a super-3 number, since 3×84294966384³ (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1266579 + ... + 1331469.

It is an arithmetic number, because the mean of its divisors is an integer number (1577135168).

Almost surely, 2^84294966384 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 84294966384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126170813440).

84294966384 is an abundant number, since it is smaller than the sum of its proper divisors (168046660496).

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

84294966384 is a wasteful number, since it uses less digits than its factorization.

84294966384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65036 (or 65024 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 84294966384 in words is "eighty-four billion, two hundred ninety-four million, nine hundred sixty-six thousand, three hundred eighty-four".