6015879547441 has 27 divisors (see below), whose sum is σ = 6395689750251. Its totient is φ = 5657798282544.

The previous prime is 6015879547417. The next prime is 6015879547481. The reversal of 6015879547441 is 1447459785106.

It is a happy number.

The square root of 6015879547441 is 2452729.

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., 382833000225 + 5633046547216 = 618735^2 + 2373404^2 .

It is not a de Polignac number, because 6015879547441 - 2³⁵ = 5981519809073 is a prime.

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 6015879547441.

It is not an unprimeable number, because it can be changed into a prime (6015879547481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7782508731 + ... + 7782509503.

Almost surely, 2^{6015879547441} is an apocalyptic number.

6015879547441 is the 2452729-th square number.

6015879547441 is the 1226365-th centered octagonal number.

It is an amenable number.

6015879547441 is a deficient number, since it is larger than the sum of its proper divisors (379810202810).

6015879547441 is an frugal number, since it uses more digits than its factorization.

6015879547441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 61.

The spelling of 6015879547441 in words is "six trillion, fifteen billion, eight hundred seventy-nine million, five hundred forty-seven thousand, four hundred forty-one".