99189668278801 has 81 divisors (see below), whose sum is σ = 111417157540017. Its totient is φ = 88286504480640.

The previous prime is 99189668278787. The next prime is 99189668278807. The reversal of 99189668278801 is 10887286698199.

The square root of 99189668278801 is 9959401.

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 57364733750401 + 41824934528400 = 7573951^2 + 6467220^2 .

It is not a de Polignac number, because 99189668278801 - 2⁵ = 99189668278769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99189668278807) 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, 217045225765 + ... + 217045226221.

It is an arithmetic number, because the mean of its divisors is an integer number (1375520463457).

Almost surely, 2^{99189668278801} is an apocalyptic number.

99189668278801 is the 9959401-st square number.

99189668278801 is the 4979701-st centered octagonal number.

It is an amenable number.

99189668278801 is a deficient number, since it is larger than the sum of its proper divisors (12227489261216).

99189668278801 is an frugal number, since it uses more digits than its factorization.

99189668278801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 82.

The spelling of 99189668278801 in words is "ninety-nine trillion, one hundred eighty-nine billion, six hundred sixty-eight million, two hundred seventy-eight thousand, eight hundred one".