87506316345 has 32 divisors (see below), whose sum is σ = 160090801920. Its totient is φ = 39983074560.

The previous prime is 87506316301. The next prime is 87506316353. The reversal of 87506316345 is 54361360578.

It is not a de Polignac number, because 87506316345 - 2⁸ = 87506316089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 87506316294 and 87506316303.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7675 + ... + 418415.

It is an arithmetic number, because the mean of its divisors is an integer number (5002837560).

Almost surely, 2^87506316345 is an apocalyptic number.

It is an amenable number.

87506316345 is a deficient number, since it is larger than the sum of its proper divisors (72584485575).

87506316345 is a wasteful number, since it uses less digits than its factorization.

87506316345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412785.

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 87506316345 in words is "eighty-seven billion, five hundred six million, three hundred sixteen thousand, three hundred forty-five".