19253482118641 has 9 divisors (see below), whose sum is σ = 20320245017163. Its totient is φ = 18240061972680.

The previous prime is 19253482118581. The next prime is 19253482118653. The reversal of 19253482118641 is 14681128435291.

The square root of 19253482118641 is 4387879.

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., 139972508641 + 19113509610000 = 374129^2 + 4371900^2 .

It is not a de Polignac number, because 19253482118641 - 2⁷ = 19253482118513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19253482118681) 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, 83254231 + ... + 83485171.

It is an arithmetic number, because the mean of its divisors is an integer number (2257805001907).

Almost surely, 2^{19253482118641} is an apocalyptic number.

19253482118641 is the 4387879-th square number.

19253482118641 is the 2193940-th centered octagonal number.

It is an amenable number.

19253482118641 is a deficient number, since it is larger than the sum of its proper divisors (1066762898522).

19253482118641 is an frugal number, since it uses more digits than its factorization.

19253482118641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461920 (or 230960 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 55.

The spelling of 19253482118641 in words is "nineteen trillion, two hundred fifty-three billion, four hundred eighty-two million, one hundred eighteen thousand, six hundred forty-one".