84341133719360 has 448 divisors, whose sum is σ = 239720347584000. Its totient is φ = 27652990697472.

The previous prime is 84341133719317. The next prime is 84341133719369. The reversal of 84341133719360 is 6391733114348.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×84341133719360² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84341133719369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3995873927 + ... + 3995895033.

Almost surely, 2^{84341133719360} is an apocalyptic number.

84341133719360 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 84341133719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119860173792000).

84341133719360 is an abundant number, since it is smaller than the sum of its proper divisors (155379213864640).

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

84341133719360 is a wasteful number, since it uses less digits than its factorization.

84341133719360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21746 (or 21736 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 53.

The spelling of 84341133719360 in words is "eighty-four trillion, three hundred forty-one billion, one hundred thirty-three million, seven hundred nineteen thousand, three hundred sixty".