6000888008241 has 81 divisors (see below), whose sum is σ = 10161433739691. Its totient is φ = 3402651811104.

The previous prime is 6000888008207. The next prime is 6000888008249. The reversal of 6000888008241 is 1428008880006.

It is a happy number.

The square root of 6000888008241 is 2449671.

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., 1758952325025 + 4241935683216 = 1326255^2 + 2059596^2 .

It is not a de Polignac number, because 6000888008241 - 2²⁹ = 6000351137329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6000888008249) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8076564916 + ... + 8076565658.

Almost surely, 2^{6000888008241} is an apocalyptic number.

6000888008241 is the 2449671-st square number.

6000888008241 is the 1224836-th centered octagonal number.

It is an amenable number.

6000888008241 is a deficient number, since it is larger than the sum of its proper divisors (4160545731450).

6000888008241 is an frugal number, since it uses more digits than its factorization.

6000888008241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 6000888008241 in words is "six trillion, eight hundred eighty-eight million, eight thousand, two hundred forty-one".