87434674123801 has 9 divisors (see below), whose sum is σ = 89515737833151. Its totient is φ = 85400916881952.

The previous prime is 87434674123789. The next prime is 87434674123807. The reversal of 87434674123801 is 10832147643478.

The square root of 87434674123801 is 9350651.

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., 25356411315225 + 62078262808576 = 5035515^2 + 7878976^2 .

It is not a de Polignac number, because 87434674123801 - 2¹³ = 87434674115609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87434674123807) 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, 401969265 + ... + 402186721.

Almost surely, 2^{87434674123801} is an apocalyptic number.

87434674123801 is the 9350651-st square number.

87434674123801 is the 4675326-th centered octagonal number.

It is an amenable number.

87434674123801 is a deficient number, since it is larger than the sum of its proper divisors (2081063709350).

87434674123801 is an frugal number, since it uses more digits than its factorization.

87434674123801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435000 (or 217500 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 58.

The spelling of 87434674123801 in words is "eighty-seven trillion, four hundred thirty-four billion, six hundred seventy-four million, one hundred twenty-three thousand, eight hundred one".