87504414681 has 16 divisors (see below), whose sum is σ = 117354339648. Its totient is φ = 57996120000.

The previous prime is 87504414659. The next prime is 87504414703. The reversal of 87504414681 is 18641440578.

It is an interprime number because it is at equal distance from previous prime (87504414659) and next prime (87504414703).

It is not a de Polignac number, because 87504414681 - 2⁹ = 87504414169 is a prime.

It is a super-4 number, since 4×87504414681⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 87504414681.

It is not an unprimeable number, because it can be changed into a prime (87504414631) 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 15 ways as a sum of consecutive naturals, for example, 385731 + ... + 569031.

It is an arithmetic number, because the mean of its divisors is an integer number (7334646228).

Almost surely, 2^87504414681 is an apocalyptic number.

It is an amenable number.

87504414681 is a deficient number, since it is larger than the sum of its proper divisors (29849924967).

87504414681 is a wasteful number, since it uses less digits than its factorization.

87504414681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184232.

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 87504414681 in words is "eighty-seven billion, five hundred four million, four hundred fourteen thousand, six hundred eighty-one".