1867284827681 has 48 divisors (see below), whose sum is σ = 2391219129600. Its totient is φ = 1426042485504.

The previous prime is 1867284827531. The next prime is 1867284827747.

1867284827681 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-1867284827681 is a prime.

It is a super-2 number, since 2×1867284827681² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1867284827081) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 163261295 + ... + 163272731.

It is an arithmetic number, because the mean of its divisors is an integer number (49817065200).

Almost surely, 2^{1867284827681} is an apocalyptic number.

It is an amenable number.

1867284827681 is a deficient number, since it is larger than the sum of its proper divisors (523934301919).

1867284827681 is a wasteful number, since it uses less digits than its factorization.

1867284827681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16258 (or 16245 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 68.

The spelling of 1867284827681 in words is "one trillion, eight hundred sixty-seven billion, two hundred eighty-four million, eight hundred twenty-seven thousand, six hundred eighty-one".