84822144848640 has 1296 divisors, whose sum is σ = 311994332762112. Its totient is φ = 22087568498688.

The previous prime is 84822144848633. The next prime is 84822144848717. The reversal of 84822144848640 is 4684844122848.

84822144848640 is a `hidden beast` number, since 8 + 4 + 8 + 2 + 2 + 144 + 8 + 486 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71459262127 + ... + 71459263313.

It is an arithmetic number, because the mean of its divisors is an integer number (240736367872).

Almost surely, 2^{84822144848640} is an apocalyptic number.

84822144848640 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 84822144848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155997166381056).

84822144848640 is an abundant number, since it is smaller than the sum of its proper divisors (227172187913472).

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

84822144848640 is an equidigital number, since it uses as much as digits as its factorization.

84822144848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 100663296, while the sum is 63.

The spelling of 84822144848640 in words is "eighty-four trillion, eight hundred twenty-two billion, one hundred forty-four million, eight hundred forty-eight thousand, six hundred forty".