19348904790121 has 9 divisors (see below), whose sum is σ = 19367480882583. Its totient is φ = 19330346510280.

The previous prime is 19348904790037. The next prime is 19348904790151. The reversal of 19348904790121 is 12109740984391.

It is a happy number.

The square root of 19348904790121 is 4398739.

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., 12625152069721 + 6723752720400 = 3553189^2 + 2593020^2 .

It is not a de Polignac number, because 19348904790121 - 2¹⁵ = 19348904757353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19348904790151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8265229411 + ... + 8265231751.

It is an arithmetic number, because the mean of its divisors is an integer number (2151942320287).

Almost surely, 2^{19348904790121} is an apocalyptic number.

19348904790121 is the 4398739-th square number.

19348904790121 is the 2199370-th centered octagonal number.

It is an amenable number.

19348904790121 is a deficient number, since it is larger than the sum of its proper divisors (18576092462).

19348904790121 is an frugal number, since it uses more digits than its factorization.

19348904790121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8440 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 58.

The spelling of 19348904790121 in words is "nineteen trillion, three hundred forty-eight billion, nine hundred four million, seven hundred ninety thousand, one hundred twenty-one".