19249041841129 has 9 divisors (see below), whose sum is σ = 19516664207109. Its totient is φ = 18985040445600.

The previous prime is 19249041841097. The next prime is 19249041841189. The reversal of 19249041841129 is 92114814094291.

It is a happy number.

The square root of 19249041841129 is 4387373.

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

It can be written as a sum of positive squares in 4 ways, for example, as 63345339225 + 19185696501904 = 251685^2 + 4380148^2 .

It is not a de Polignac number, because 19249041841129 - 2⁵ = 19249041841097 is a prime.

It is a super-3 number, since 3×19249041841129³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19249041841129.

It is not an unprimeable number, because it can be changed into a prime (19249041841189) 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, 320248179 + ... + 320308279.

Almost surely, 2^{19249041841129} is an apocalyptic number.

19249041841129 is the 4387373-rd square number.

19249041841129 is the 2193687-th centered octagonal number.

It is an amenable number.

19249041841129 is a deficient number, since it is larger than the sum of its proper divisors (267622365980).

19249041841129 is an frugal number, since it uses more digits than its factorization.

19249041841129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120348 (or 60174 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 55.

The spelling of 19249041841129 in words is "nineteen trillion, two hundred forty-nine billion, forty-one million, eight hundred forty-one thousand, one hundred twenty-nine".