84344000000 has 280 divisors, whose sum is σ = 227135061384. Its totient is φ = 31104000000.

The previous prime is 84343999991. The next prime is 84344000003. The reversal of 84344000000 is 44348.

It is a super-2 number, since 2×84344000000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84344000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84344000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 103999595 + ... + 104000405.

Almost surely, 2^84344000000 is an apocalyptic number.

84344000000 is a gapful number since it is divisible by the number (80) 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 84344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113567530692).

84344000000 is an abundant number, since it is smaller than the sum of its proper divisors (142791061384).

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

84344000000 is an frugal number, since it uses more digits than its factorization.

84344000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 84344000000 its reverse (44348), we get a palindrome (84344044348).

The spelling of 84344000000 in words is "eighty-four billion, three hundred forty-four million", and thus it is an aban number.