10189368342241 has 9 divisors (see below), whose sum is σ = 11199922806163. Its totient is φ = 9263030208520.

The previous prime is 10189368342133. The next prime is 10189368342299. The reversal of 10189368342241 is 14224386398101.

The square root of 10189368342241 is 3192079.

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., 6984767122641 + 3204601219600 = 2642871^2 + 1790140^2 .

It is not a de Polignac number, because 10189368342241 - 2⁷ = 10189368342113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10189368342641) 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, 34967775 + ... + 35257963.

Almost surely, 2^{10189368342241} is an apocalyptic number.

10189368342241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10189368342241 is the 3192079-th square number.

10189368342241 is the 1596040-th centered octagonal number.

It is an amenable number.

10189368342241 is a deficient number, since it is larger than the sum of its proper divisors (1010554463922).

10189368342241 is an frugal number, since it uses more digits than its factorization.

10189368342241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580400 (or 290200 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 10189368342241 in words is "ten trillion, one hundred eighty-nine billion, three hundred sixty-eight million, three hundred forty-two thousand, two hundred forty-one".