867008616161652 has 36 divisors (see below), whose sum is σ = 2192240545431300. Its totient is φ = 288919078776192.

The previous prime is 867008616161591. The next prime is 867008616161671. The reversal of 867008616161652 is 256161616800768.

867008616161652 is a `hidden beast` number, since 8 + 6 + 7 + 0 + 0 + 8 + 6 + 1 + 6 + 1 + 616 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5353883311716 + 861654732849936 = 2313846^2 + 29353956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×867008616161652² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 867008616161652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3491260683 + ... + 3491509010.

It is an arithmetic number, because the mean of its divisors is an integer number (60895570706425).

Almost surely, 2^{867008616161652} is an apocalyptic number.

It is an amenable number.

867008616161652 is an abundant number, since it is smaller than the sum of its proper divisors (1325231929269648).

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

867008616161652 is a wasteful number, since it uses less digits than its factorization.

867008616161652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6982773152 (or 6982773147 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 867008616161652 in words is "eight hundred sixty-seven trillion, eight billion, six hundred sixteen million, one hundred sixty-one thousand, six hundred fifty-two".