83305369348776 has 24 divisors (see below), whose sum is σ = 225618708653130. Its totient is φ = 27768456449568.

The previous prime is 83305369348771. The next prime is 83305369348777. The reversal of 83305369348776 is 67784396350338.

83305369348776 is a `hidden beast` number, since 8 + 3 + 3 + 0 + 53 + 6 + 93 + 487 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66587656335876 + 16717713012900 = 8160126^2 + 4088730^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 1157019018733 = 83305369348776 / (8 + 3 + 3 + 0 + 5 + 3 + 6 + 9 + 3 + 4 + 8 + 7 + 7 + 6).

It is not an unprimeable number, because it can be changed into a prime (83305369348771) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 578509509295 + ... + 578509509438.

Almost surely, 2^{83305369348776} is an apocalyptic number.

It is an amenable number.

83305369348776 is an abundant number, since it is smaller than the sum of its proper divisors (142313339304354).

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

83305369348776 is a wasteful number, since it uses less digits than its factorization.

83305369348776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157019018745 (or 1157019018738 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 72.

The spelling of 83305369348776 in words is "eighty-three trillion, three hundred five billion, three hundred sixty-nine million, three hundred forty-eight thousand, seven hundred seventy-six".