82367333632512 has 120 divisors (see below), whose sum is σ = 239452869360276. Its totient is φ = 27255370530816.

The previous prime is 82367333632489. The next prime is 82367333632541. The reversal of 82367333632512 is 21523633376328.

82367333632512 is a `hidden beast` number, since 8 + 2 + 3 + 67 + 3 + 3 + 3 + 63 + 2 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81712632566016 + 654701066496 = 9039504^2 + 809136^2 .

It is a super-2 number, since 2×82367333632512² (a number of 29 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 11 ways as a sum of consecutive naturals, for example, 64605403 + ... + 65867994.

Almost surely, 2^{82367333632512} is an apocalyptic number.

It is an amenable number.

82367333632512 is an abundant number, since it is smaller than the sum of its proper divisors (157085535727764).

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

82367333632512 is a wasteful number, since it uses less digits than its factorization.

82367333632512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130473558 (or 130473539 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 54.

The spelling of 82367333632512 in words is "eighty-two trillion, three hundred sixty-seven billion, three hundred thirty-three million, six hundred thirty-two thousand, five hundred twelve".