88642168510009 has 3 divisors (see below), whose sum is σ = 88642177925007. Its totient is φ = 88642159095012.

The previous prime is 88642168510003. The next prime is 88642168510031. The reversal of 88642168510009 is 90001586124688.

It is a happy number.

The square root of 88642168510009 is 9414997.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 88091646061225 + 550522448784 = 9385715^2 + 741972^2 .

It is not a de Polignac number, because 88642168510009 - 2⁵ = 88642168509977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88642168510003) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4707499 + ... + 14122495.

It is an arithmetic number, because the mean of its divisors is an integer number (29547392641669).

Almost surely, 2^{88642168510009} is an apocalyptic number.

88642168510009 is the 9414997-th square number.

88642168510009 is the 4707499-th centered octagonal number.

It is an amenable number.

88642168510009 is a deficient number, since it is larger than the sum of its proper divisors (9414998).

88642168510009 is an frugal number, since it uses more digits than its factorization.

88642168510009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18829994 (or 9414997 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 58.

The spelling of 88642168510009 in words is "eighty-eight trillion, six hundred forty-two billion, one hundred sixty-eight million, five hundred ten thousand, nine".