10938213446209 has 27 divisors (see below), whose sum is σ = 13148600385123. Its totient is φ = 9072577130400.

The previous prime is 10938213446197. The next prime is 10938213446257. The reversal of 10938213446209 is 90264431283901.

The square root of 10938213446209 is 3307297.

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., 8657146943809 + 2281066502400 = 2942303^2 + 1510320^2 .

It is not a de Polignac number, because 10938213446209 - 2⁵ = 10938213446177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10938213441209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 717675829 + ... + 717691069.

It is an arithmetic number, because the mean of its divisors is an integer number (486985199449).

Almost surely, 2^{10938213446209} is an apocalyptic number.

10938213446209 is the 3307297-th square number.

10938213446209 is the 1653649-th centered octagonal number.

It is an amenable number.

10938213446209 is a deficient number, since it is larger than the sum of its proper divisors (2210386938914).

10938213446209 is an frugal number, since it uses more digits than its factorization.

10938213446209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30558 (or 15279 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 10938213446209 in words is "ten trillion, nine hundred thirty-eight billion, two hundred thirteen million, four hundred forty-six thousand, two hundred nine".