84500633982336 has 1024 divisors, whose sum is σ = 287013578342400. Its totient is φ = 21633454080000.

The previous prime is 84500633982269. The next prime is 84500633982377. The reversal of 84500633982336 is 63328933600548.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 84500633982336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22672558905 + ... + 22672562631.

It is an arithmetic number, because the mean of its divisors is an integer number (280286697600).

Almost surely, 2^{84500633982336} 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 84500633982336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143506789171200).

84500633982336 is an abundant number, since it is smaller than the sum of its proper divisors (202512944360064).

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

84500633982336 is a wasteful number, since it uses less digits than its factorization.

84500633982336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 60.

The spelling of 84500633982336 in words is "eighty-four trillion, five hundred billion, six hundred thirty-three million, nine hundred eighty-two thousand, three hundred thirty-six".