82518985292364 has 30 divisors (see below), whose sum is σ = 215720927601564. Its totient is φ = 27506328430680.

The previous prime is 82518985292363. The next prime is 82518985292371. The reversal of 82518985292364 is 46329258981528.

It is a happy number.

82518985292364 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 8 + 98 + 529 + 2 + 3 + 6 + 4 = 666.

It is a super-2 number, since 2×82518985292364² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82518985292292 and 82518985292301.

It is not an unprimeable number, because it can be changed into a prime (82518985292363) 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 9 ways as a sum of consecutive naturals, for example, 127344112782 + ... + 127344113429.

Almost surely, 2^{82518985292364} is an apocalyptic number.

It is an amenable number.

82518985292364 is an abundant number, since it is smaller than the sum of its proper divisors (133201942309200).

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

82518985292364 is a wasteful number, since it uses less digits than its factorization.

82518985292364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254688226227 (or 254688226216 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 82518985292364 in words is "eighty-two trillion, five hundred eighteen billion, nine hundred eighty-five million, two hundred ninety-two thousand, three hundred sixty-four".