87184190016 has 630 divisors, whose sum is σ = 321057135126. Its totient is φ = 22601779200.

The previous prime is 87184189997. The next prime is 87184190021. The reversal of 87184190016 is 61009148178.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 66936038400 + 20248151616 = 258720^2 + 142296^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 167339836 + ... + 167340356.

Almost surely, 2^87184190016 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 87184190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160528567563).

87184190016 is an abundant number, since it is smaller than the sum of its proper divisors (233872945110).

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

87184190016 is a wasteful number, since it uses less digits than its factorization.

87184190016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 87184190016 in words is "eighty-seven billion, one hundred eighty-four million, one hundred ninety thousand, sixteen".