84659632512 has 256 divisors, whose sum is σ = 284256537600. Its totient is φ = 21724028928.

The previous prime is 84659632507. The next prime is 84659632529. The reversal of 84659632512 is 21523695648.

It is a happy number.

It is a super-3 number, since 3×84659632512³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1260189 + ... + 1325667.

It is an arithmetic number, because the mean of its divisors is an integer number (1110377100).

Almost surely, 2^84659632512 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 84659632512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142128268800).

84659632512 is an abundant number, since it is smaller than the sum of its proper divisors (199596905088).

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

84659632512 is a wasteful number, since it uses less digits than its factorization.

84659632512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65553 (or 65541 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The spelling of 84659632512 in words is "eighty-four billion, six hundred fifty-nine million, six hundred thirty-two thousand, five hundred twelve".