82831313001618 has 12 divisors (see below), whose sum is σ = 179467844836878. Its totient is φ = 27610437667200.

The previous prime is 82831313001611. The next prime is 82831313001643. The reversal of 82831313001618 is 81610031313828.

It is a happy number.

82831313001618 is a `hidden beast` number, since 8 + 2 + 8 + 3 + 13 + 13 + 0 + 0 + 1 + 618 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80331192296289 + 2500120705329 = 8962767^2 + 1581177^2 .

It is a super-2 number, since 2×82831313001618² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82831313001611) 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, 2300869805583 + ... + 2300869805618.

Almost surely, 2^{82831313001618} is an apocalyptic number.

82831313001618 is an abundant number, since it is smaller than the sum of its proper divisors (96636531835260).

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

82831313001618 is a wasteful number, since it uses less digits than its factorization.

82831313001618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601739611209 (or 4601739611206 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 82831313001618 in words is "eighty-two trillion, eight hundred thirty-one billion, three hundred thirteen million, one thousand, six hundred eighteen".