83834093961216 has 285 divisors, whose sum is σ = 250592931530139. Its totient is φ = 27930634223616.

The previous prime is 83834093961197. The next prime is 83834093961239. The reversal of 83834093961216 is 61216939043838.

The square root of 83834093961216 is 9156096.

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

83834093961216 is a `hidden beast` number, since 8 + 3 + 8 + 3 + 4 + 0 + 9 + 3 + 9 + 612 + 1 + 6 = 666.

It is a super-2 number, since 2×83834093961216² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 42191289375 + ... + 42191291361.

Almost surely, 2^{83834093961216} is an apocalyptic number.

83834093961216 is the 9156096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83834093961216

83834093961216 is an abundant number, since it is smaller than the sum of its proper divisors (166758837568923).

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

83834093961216 is an frugal number, since it uses more digits than its factorization.

83834093961216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 83834093961216 in words is "eighty-three trillion, eight hundred thirty-four billion, ninety-three million, nine hundred sixty-one thousand, two hundred sixteen".