83925679921216 has 189 divisors, whose sum is σ = 205817859349869. Its totient is φ = 33848857233408.

The previous prime is 83925679921159. The next prime is 83925679921217. The reversal of 83925679921216 is 61212997652938.

The square root of 83925679921216 is 9161096.

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., 65340062222400 + 18585617698816 = 8083320^2 + 4311104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83925679921217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8721358581 + ... + 8721368203.

Almost surely, 2^{83925679921216} is an apocalyptic number.

83925679921216 is the 9161096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83925679921216

83925679921216 is an abundant number, since it is smaller than the sum of its proper divisors (121892179428653).

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

83925679921216 is an frugal number, since it uses more digits than its factorization.

83925679921216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19306 (or 9649 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 70.

The spelling of 83925679921216 in words is "eighty-three trillion, nine hundred twenty-five billion, six hundred seventy-nine million, nine hundred twenty-one thousand, two hundred sixteen".