867215861562141 has 320 divisors, whose sum is σ = 1634156692439040. Its totient is φ = 446182230574080.

The previous prime is 867215861562121. The next prime is 867215861562143. The reversal of 867215861562141 is 141265168512768.

867215861562141 is a `hidden beast` number, since 8 + 6 + 7 + 2 + 1 + 5 + 8 + 61 + 562 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 867215861562141 - 2³⁰ = 867214787820317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867215861562143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 32677022850 + ... + 32677049388.

It is an arithmetic number, because the mean of its divisors is an integer number (5106739663872).

Almost surely, 2^{867215861562141} is an apocalyptic number.

867215861562141 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

867215861562141 is a deficient number, since it is larger than the sum of its proper divisors (766940830876899).

867215861562141 is a wasteful number, since it uses less digits than its factorization.

867215861562141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27286 (or 27277 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 867215861562141 in words is "eight hundred sixty-seven trillion, two hundred fifteen billion, eight hundred sixty-one million, five hundred sixty-two thousand, one hundred forty-one".