84642888824648 has 128 divisors (see below), whose sum is σ = 202105807257600. Its totient is φ = 32271400684800.

The previous prime is 84642888824639. The next prime is 84642888824687.

84642888824648 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 9200157²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202194338 + ... + 202612526.

It is an arithmetic number, because the mean of its divisors is an integer number (1578951619200).

Almost surely, 2^{84642888824648} is an apocalyptic number.

84642888824648 is a gapful number since it is divisible by the number (88) 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 84642888824648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101052903628800).

84642888824648 is an abundant number, since it is smaller than the sum of its proper divisors (117462918432952).

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

84642888824648 is a wasteful number, since it uses less digits than its factorization.

84642888824648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425251 (or 425247 counting only the distinct ones).

The product of its digits is 9663676416, while the sum is 80.

The spelling of 84642888824648 in words is "eighty-four trillion, six hundred forty-two billion, eight hundred eighty-eight million, eight hundred twenty-four thousand, six hundred forty-eight".