84343518336 has 1024 divisors, whose sum is σ = 315850752000. Its totient is φ = 19276185600.

The previous prime is 84343518331. The next prime is 84343518341. The reversal of 84343518336 is 63381534348.

It is an interprime number because it is at equal distance from previous prime (84343518331) and next prime (84343518341).

It is a super-2 number, since 2×84343518336² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (84343518331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 505050925 + ... + 505051091.

It is an arithmetic number, because the mean of its divisors is an integer number (308448000).

Almost surely, 2^84343518336 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 84343518336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157925376000).

84343518336 is an abundant number, since it is smaller than the sum of its proper divisors (231507233664).

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

84343518336 is a wasteful number, since it uses less digits than its factorization.

84343518336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 84343518336 in words is "eighty-four billion, three hundred forty-three million, five hundred eighteen thousand, three hundred thirty-six".