87363474066649 has 81 divisors (see below), whose sum is σ = 99651976006303. Its totient is φ = 76531950484000.

The previous prime is 87363474066647. The next prime is 87363474066653. The reversal of 87363474066649 is 94666047436378.

The square root of 87363474066649 is 9346843.

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., 83937791327049 + 3425682739600 = 9161757^2 + 1850860^2 .

It is not a de Polignac number, because 87363474066649 - 2¹ = 87363474066647 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87363474066647) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 488064100842 + ... + 488064101020.

Almost surely, 2^{87363474066649} is an apocalyptic number.

87363474066649 is the 9346843-rd square number.

87363474066649 is the 4673422-nd centered octagonal number.

It is an amenable number.

87363474066649 is a deficient number, since it is larger than the sum of its proper divisors (12288501939654).

87363474066649 is an equidigital number, since it uses as much as digits as its factorization.

87363474066649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 73.

The spelling of 87363474066649 in words is "eighty-seven trillion, three hundred sixty-three billion, four hundred seventy-four million, sixty-six thousand, six hundred forty-nine".