84195790848 has 468 divisors, whose sum is σ = 273098653828. Its totient is φ = 25798901760.

The previous prime is 84195790837. The next prime is 84195790867. The reversal of 84195790848 is 84809759148.

84195790848 is a `hidden beast` number, since 8 + 4 + 19 + 579 + 0 + 8 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36790308864 + 47405481984 = 191808^2 + 217728^2 .

It is a tau number, because it is divible by the number of its divisors (468).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 349360008 + ... + 349360248.

Almost surely, 2^84195790848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84195790848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136549326914).

84195790848 is an abundant number, since it is smaller than the sum of its proper divisors (188902862980).

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

84195790848 is an frugal number, since it uses more digits than its factorization.

84195790848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 84195790848 in words is "eighty-four billion, one hundred ninety-five million, seven hundred ninety thousand, eight hundred forty-eight".