98535721216 has 81 divisors (see below), whose sum is σ = 205851259929. Its totient is φ = 47070532608.

The previous prime is 98535721213. The next prime is 98535721241. The reversal of 98535721216 is 61212753589.

The square root of 98535721216 is 313904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5691193600 + 92844527616 = 75440^2 + 304704^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 98535721216.

It is not an unprimeable number, because it can be changed into a prime (98535721213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 115516246 + ... + 115517098.

Almost surely, 2^98535721216 is an apocalyptic number.

98535721216 is the 313904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98535721216

98535721216 is an abundant number, since it is smaller than the sum of its proper divisors (107315538713).

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

98535721216 is an frugal number, since it uses more digits than its factorization.

98535721216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 878 counting only the distinct ones).

The product of its digits is 907200, while the sum is 49.

Multiplying 98535721216 by its sum of digits (49), we get a square (4828250339584 = 2197328²).

The spelling of 98535721216 in words is "ninety-eight billion, five hundred thirty-five million, seven hundred twenty-one thousand, two hundred sixteen".