84041701733248 has 128 divisors (see below), whose sum is σ = 192925306425600. Its totient is φ = 35720940625920.

The previous prime is 84041701733201. The next prime is 84041701733251. The reversal of 84041701733248 is 84233710714048.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 84041701733195 and 84041701733204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117586888 + ... + 118299448.

It is an arithmetic number, because the mean of its divisors is an integer number (1507228956450).

Almost surely, 2^{84041701733248} 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 84041701733248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96462653212800).

84041701733248 is an abundant number, since it is smaller than the sum of its proper divisors (108883604692352).

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

84041701733248 is a wasteful number, since it uses less digits than its factorization.

84041701733248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713668 (or 713656 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 84041701733248 in words is "eighty-four trillion, forty-one billion, seven hundred one million, seven hundred thirty-three thousand, two hundred forty-eight".