84964085216032 has 96 divisors (see below), whose sum is σ = 183132870508224. Its totient is φ = 38481841843200.

The previous prime is 84964085215967. The next prime is 84964085216039. The reversal of 84964085216032 is 23061258046948.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (84964085216039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651444907 + ... + 651575317.

It is an arithmetic number, because the mean of its divisors is an integer number (1907634067794).

Almost surely, 2^{84964085216032} 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 84964085216032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91566435254112).

84964085216032 is an abundant number, since it is smaller than the sum of its proper divisors (98168785292192).

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

84964085216032 is a wasteful number, since it uses less digits than its factorization.

84964085216032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137042 (or 137034 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 84964085216032 in words is "eighty-four trillion, nine hundred sixty-four billion, eighty-five million, two hundred sixteen thousand, thirty-two".