83162330784 has 144 divisors (see below), whose sum is σ = 254927017800. Its totient is φ = 25564059648.

The previous prime is 83162330773. The next prime is 83162330813. The reversal of 83162330784 is 48703326138.

83162330784 is a `hidden beast` number, since 8 + 316 + 23 + 307 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21191207184 + 61971123600 = 145572^2 + 248940^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×83162330784² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4142082 + ... + 4162110.

Almost surely, 2^83162330784 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 83162330784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127463508900).

83162330784 is an abundant number, since it is smaller than the sum of its proper divisors (171764687016).

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

83162330784 is a wasteful number, since it uses less digits than its factorization.

83162330784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21167 (or 21156 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 83162330784 in words is "eighty-three billion, one hundred sixty-two million, three hundred thirty thousand, seven hundred eighty-four".