87148404879561 has 99 divisors (see below), whose sum is σ = 134131121392053. Its totient is φ = 56621396407680.

The previous prime is 87148404879533. The next prime is 87148404879577. The reversal of 87148404879561 is 16597840484178.

The square root of 87148404879561 is 9335331.

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

87148404879561 is a `hidden beast` number, since 8 + 7 + 1 + 4 + 84 + 0 + 487 + 9 + 5 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70466538969225 + 16681865910336 = 8394435^2 + 4084344^2 .

It is not a de Polignac number, because 87148404879561 - 2⁹ = 87148404879049 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 87148404879561.

It is not an unprimeable number, because it can be changed into a prime (87148404879521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 93007902285 + ... + 93007903221.

Almost surely, 2^{87148404879561} is an apocalyptic number.

87148404879561 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

87148404879561 is the 9335331-st square number.

87148404879561 is the 4667666-th centered octagonal number.

It is an amenable number.

87148404879561 is a deficient number, since it is larger than the sum of its proper divisors (46982716512492).

87148404879561 is an frugal number, since it uses more digits than its factorization.

87148404879561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 87148404879561 in words is "eighty-seven trillion, one hundred forty-eight billion, four hundred four million, eight hundred seventy-nine thousand, five hundred sixty-one".