82351833802416 has 80 divisors (see below), whose sum is σ = 236402722888320. Its totient is φ = 27448003103040.

The previous prime is 82351833802361. The next prime is 82351833802417. The reversal of 82351833802416 is 61420833815328.

82351833802416 is a `hidden beast` number, since 8 + 2 + 3 + 5 + 18 + 3 + 380 + 241 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82351833802417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4501470 + ... + 13600253.

It is an arithmetic number, because the mean of its divisors is an integer number (2955034036104).

Almost surely, 2^{82351833802416} is an apocalyptic number.

It is an amenable number.

82351833802416 is an abundant number, since it is smaller than the sum of its proper divisors (154050889085904).

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

82351833802416 is a wasteful number, since it uses less digits than its factorization.

82351833802416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18112271 (or 18112259 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 82351833802416 in words is "eighty-two trillion, three hundred fifty-one billion, eight hundred thirty-three million, eight hundred two thousand, four hundred sixteen".