102398633646841 has 27 divisors (see below), whose sum is σ = 119397181344399. Its totient is φ = 87564128879808.

The previous prime is 102398633646839. The next prime is 102398633646863. The reversal of 102398633646841 is 148646336893201.

The square root of 102398633646841 is 10119221.

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., 11598622205625 + 90800011441216 = 3405675^2 + 9528904^2 .

It is not a de Polignac number, because 102398633646841 - 2¹ = 102398633646839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102398633640841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35346437505 + ... + 35346440401.

Almost surely, 2^{102398633646841} is an apocalyptic number.

102398633646841 is the 10119221-st square number.

102398633646841 is the 5059611-st centered octagonal number.

It is an amenable number.

102398633646841 is a deficient number, since it is larger than the sum of its proper divisors (16998547697558).

102398633646841 is an frugal number, since it uses more digits than its factorization.

102398633646841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6806 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 64.

The spelling of 102398633646841 in words is "one hundred two trillion, three hundred ninety-eight billion, six hundred thirty-three million, six hundred forty-six thousand, eight hundred forty-one".