87244027641 has 45 divisors (see below), whose sum is σ = 134096241279. Its totient is φ = 56526920496.

The previous prime is 87244027571. The next prime is 87244027643. The reversal of 87244027641 is 14672044278.

The square root of 87244027641 is 295371.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 78067154025 + 9176873616 = 279405^2 + 95796^2 .

It is not a de Polignac number, because 87244027641 - 2⁷ = 87244027513 is a prime.

It is a super-2 number, since 2×87244027641² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87244027643) 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 44 ways as a sum of consecutive naturals, for example, 98358100 + ... + 98358986.

Almost surely, 2^87244027641 is an apocalyptic number.

87244027641 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

87244027641 is the 295371-st square number.

87244027641 is the 147686-th centered octagonal number.

It is an amenable number.

87244027641 is a deficient number, since it is larger than the sum of its proper divisors (46852213638).

87244027641 is an frugal number, since it uses more digits than its factorization.

87244027641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 87244027641 in words is "eighty-seven billion, two hundred forty-four million, twenty-seven thousand, six hundred forty-one".