84023313024 has 512 divisors, whose sum is σ = 270945423360. Its totient is φ = 22574039040.

The previous prime is 84023313013. The next prime is 84023313079. The reversal of 84023313024 is 42031332048.

It is a junction number, because it is equal to n+sod(n) for n = 84023312982 and 84023313000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 515480367 + ... + 515480529.

It is an arithmetic number, because the mean of its divisors is an integer number (529190280).

Almost surely, 2^84023313024 is an apocalyptic number.

84023313024 is a gapful number since it is divisible by the number (84) 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 84023313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135472711680).

84023313024 is an abundant number, since it is smaller than the sum of its proper divisors (186922110336).

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

84023313024 is a wasteful number, since it uses less digits than its factorization.

84023313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 84023313024 in words is "eighty-four billion, twenty-three million, three hundred thirteen thousand, twenty-four".