84315168000 has 864 divisors, whose sum is σ = 359806137600. Its totient is φ = 19259596800.

The previous prime is 84315167899. The next prime is 84315168001. The reversal of 84315168000 is 86151348.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84315168001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54431226 + ... + 54432774.

Almost surely, 2^84315168000 is an apocalyptic number.

84315168000 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 84315168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179903068800).

84315168000 is an abundant number, since it is smaller than the sum of its proper divisors (275490969600).

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

84315168000 is an equidigital number, since it uses as much as digits as its factorization.

84315168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 84315168000 in words is "eighty-four billion, three hundred fifteen million, one hundred sixty-eight thousand".