10194271965409 has 27 divisors (see below), whose sum is σ = 11897167869297. Its totient is φ = 8709652388808.

The previous prime is 10194271965389. The next prime is 10194271965419. The reversal of 10194271965409 is 90456917249101.

It is a happy number.

The square root of 10194271965409 is 3192847.

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

It is not a de Polignac number, because 10194271965409 - 2¹³ = 10194271957217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10194271965419) 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, 9811618312 + ... + 9811619350.

It is an arithmetic number, because the mean of its divisors is an integer number (440635847011).

Almost surely, 2^{10194271965409} is an apocalyptic number.

10194271965409 is the 3192847-th square number.

10194271965409 is the 1596424-th centered octagonal number.

It is an amenable number.

10194271965409 is a deficient number, since it is larger than the sum of its proper divisors (1702895903888).

10194271965409 is an frugal number, since it uses more digits than its factorization.

10194271965409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 58.

The spelling of 10194271965409 in words is "ten trillion, one hundred ninety-four billion, two hundred seventy-one million, nine hundred sixty-five thousand, four hundred nine".