84123648000 has 816 divisors, whose sum is σ = 348745328256. Its totient is φ = 19110297600.

The previous prime is 84123647989. The next prime is 84123648043. The reversal of 84123648000 is 84632148.

84123648000 is a `hidden beast` number, since 8 + 4 + 1 + 2 + 3 + 648 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516095919 + ... + 516096081.

Almost surely, 2^84123648000 is an apocalyptic number.

84123648000 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 84123648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174372664128).

84123648000 is an abundant number, since it is smaller than the sum of its proper divisors (264621680256).

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

84123648000 is an equidigital number, since it uses as much as digits as its factorization.

84123648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 84123648000 in words is "eighty-four billion, one hundred twenty-three million, six hundred forty-eight thousand".