848434098462720 has 2688 divisors, whose sum is σ = 3670624602408960. Its totient is φ = 164986560184320.

The previous prime is 848434098462677. The next prime is 848434098462721. The reversal of 848434098462720 is 27264890434848.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (848434098462721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104448364579 + ... + 104448372701.

It is an arithmetic number, because the mean of its divisors is an integer number (1365559747920).

Almost surely, 2^{848434098462720} is an apocalyptic number.

848434098462720 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 848434098462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835312301204480).

848434098462720 is an abundant number, since it is smaller than the sum of its proper divisors (2822190503946240).

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

848434098462720 is a wasteful number, since it uses less digits than its factorization.

848434098462720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 69.

The spelling of 848434098462720 in words is "eight hundred forty-eight trillion, four hundred thirty-four billion, ninety-eight million, four hundred sixty-two thousand, seven hundred twenty".