84529210694656 has 528 divisors, whose sum is σ = 215414356634400. Its totient is φ = 32853531820032.

The previous prime is 84529210694609. The next prime is 84529210694699. The reversal of 84529210694656 is 65649601292548.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a junction number, because it is equal to n+sod(n) for n = 84529210694591 and 84529210694600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17874645700 + ... + 17874650428.

It is an arithmetic number, because the mean of its divisors is an integer number (407981736050).

Almost surely, 2^{84529210694656} 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 84529210694656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107707178317200).

84529210694656 is an abundant number, since it is smaller than the sum of its proper divisors (130885145939744).

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

84529210694656 is a wasteful number, since it uses less digits than its factorization.

84529210694656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 67.

The spelling of 84529210694656 in words is "eighty-four trillion, five hundred twenty-nine billion, two hundred ten million, six hundred ninety-four thousand, six hundred fifty-six".