1915514128441 has 15 divisors (see below), whose sum is σ = 2035657397451. Its totient is φ = 1802460373056.

The previous prime is 1915514128439. The next prime is 1915514128453. The reversal of 1915514128441 is 1448214155191.

The square root of 1915514128441 is 1384021.

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

It can be written as a sum of positive squares in 7 ways, for example, as 820435596841 + 1095078531600 = 905779^2 + 1046460^2 .

It is not a de Polignac number, because 1915514128441 - 2¹ = 1915514128439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1915514128391 and 1915514128400.

It is not an unprimeable number, because it can be changed into a prime (1915514128421) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 399979675 + ... + 399984463.

Almost surely, 2^{1915514128441} is an apocalyptic number.

1915514128441 is the 1384021-st square number.

1915514128441 is the 692011-st centered octagonal number.

It is an amenable number.

1915514128441 is a deficient number, since it is larger than the sum of its proper divisors (120143269010).

1915514128441 is an frugal number, since it uses more digits than its factorization.

1915514128441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9646 (or 4806 counting only the distinct ones).

The product of its digits is 230400, while the sum is 46.

The spelling of 1915514128441 in words is "one trillion, nine hundred fifteen billion, five hundred fourteen million, one hundred twenty-eight thousand, four hundred forty-one".