87782240144 has 20 divisors (see below), whose sum is σ = 170098672140. Its totient is φ = 43885808640.

The previous prime is 87782240141. The next prime is 87782240159. The reversal of 87782240144 is 44104228778.

It can be written as a sum of positive squares in 2 ways, for example, as 34380576400 + 53401663744 = 185420^2 + 231088^2 .

It is not an unprimeable number, because it can be changed into a prime (87782240141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 193877 + ... + 461684.

It is an arithmetic number, because the mean of its divisors is an integer number (8504933607).

Almost surely, 2^87782240144 is an apocalyptic number.

It is an amenable number.

87782240144 is a deficient number, since it is larger than the sum of its proper divisors (82316431996).

87782240144 is a wasteful number, since it uses less digits than its factorization.

87782240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663938 (or 663932 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 47.

The spelling of 87782240144 in words is "eighty-seven billion, seven hundred eighty-two million, two hundred forty thousand, one hundred forty-four".