6141206448 has 240 divisors, whose sum is σ = 20332865280. Its totient is φ = 1712088576.

The previous prime is 6141206441. The next prime is 6141206459. The reversal of 6141206448 is 8446021416.

It is a happy number.

6141206448 is a `hidden beast` number, since 6 + 1 + 4 + 1 + 2 + 0 + 644 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6141206441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 814311 + ... + 821817.

It is an arithmetic number, because the mean of its divisors is an integer number (84720272).

Almost surely, 2^6141206448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6141206448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10166432640).

6141206448 is an abundant number, since it is smaller than the sum of its proper divisors (14191658832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6141206448 is a wasteful number, since it uses less digits than its factorization.

6141206448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7576 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6141206448 is about 78365.8500113410. The cubic root of 6141206448 is about 1831.2651575692.

The spelling of 6141206448 in words is "six billion, one hundred forty-one million, two hundred six thousand, four hundred forty-eight".