87214493041 has 9 divisors (see below), whose sum is σ = 94443519681. Its totient is φ = 80502142032.

The previous prime is 87214493021. The next prime is 87214493081. The reversal of 87214493041 is 14039441278.

The square root of 87214493041 is 295321.

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 24313853041 + 62900640000 = 155929^2 + 250800^2 .

It is not a de Polignac number, because 87214493041 - 2⁹ = 87214492529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87214493021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3827815 + ... + 3850531.

It is an arithmetic number, because the mean of its divisors is an integer number (10493724409).

Almost surely, 2^87214493041 is an apocalyptic number.

87214493041 is the 295321-st square number.

87214493041 is the 147661-st centered octagonal number.

It is an amenable number.

87214493041 is a deficient number, since it is larger than the sum of its proper divisors (7229026640).

87214493041 is an frugal number, since it uses more digits than its factorization.

87214493041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45460 (or 22730 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 87214493041 in words is "eighty-seven billion, two hundred fourteen million, four hundred ninety-three thousand, forty-one".