84336663348 has 192 divisors, whose sum is σ = 254644992000. Its totient is φ = 23639033088.

The previous prime is 84336663283. The next prime is 84336663353.

84336663348 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×84336663348² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 84336663294 and 84336663303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25378015 + ... + 25381337.

It is an arithmetic number, because the mean of its divisors is an integer number (1326276000).

Almost surely, 2^84336663348 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 84336663348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127322496000).

84336663348 is an abundant number, since it is smaller than the sum of its proper divisors (170308328652).

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

84336663348 is a wasteful number, since it uses less digits than its factorization.

84336663348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3963 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The spelling of 84336663348 in words is "eighty-four billion, three hundred thirty-six million, six hundred sixty-three thousand, three hundred forty-eight".