87231845360401 has 27 divisors (see below), whose sum is σ = 104293328564817. Its totient is φ = 72747320819040.

The previous prime is 87231845360347. The next prime is 87231845360423. The reversal of 87231845360401 is 10406354813278.

The square root of 87231845360401 is 9339799.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3608575140625 + 83623270219776 = 1899625^2 + 9144576^2 .

It is not a de Polignac number, because 87231845360401 - 2¹¹ = 87231845358353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87231845360501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2418989911 + ... + 2419025971.

It is an arithmetic number, because the mean of its divisors is an integer number (3862715872771).

Almost surely, 2^{87231845360401} is an apocalyptic number.

87231845360401 is the 9339799-th square number.

87231845360401 is the 4669900-th centered octagonal number.

It is an amenable number.

87231845360401 is a deficient number, since it is larger than the sum of its proper divisors (17061483204416).

87231845360401 is an frugal number, since it uses more digits than its factorization.

87231845360401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72210 (or 36105 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 87231845360401 in words is "eighty-seven trillion, two hundred thirty-one billion, eight hundred forty-five million, three hundred sixty thousand, four hundred one".