84313202688 has 504 divisors, whose sum is σ = 288700701744. Its totient is φ = 23551672320.

The previous prime is 84313202653. The next prime is 84313202707. The reversal of 84313202688 is 88620231348.

84313202688 is a `hidden beast` number, since 8 + 431 + 3 + 202 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×84313202688² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115973781 + ... + 115974507.

Almost surely, 2^84313202688 is an apocalyptic number.

84313202688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84313202688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144350350872).

84313202688 is an abundant number, since it is smaller than the sum of its proper divisors (204387499056).

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

84313202688 is a wasteful number, since it uses less digits than its factorization.

84313202688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 84313202688 in words is "eighty-four billion, three hundred thirteen million, two hundred two thousand, six hundred eighty-eight".