6412148379 has 192 divisors, whose sum is σ = 12410496000. Its totient is φ = 3241244160.

The previous prime is 6412148363. The next prime is 6412148381. The reversal of 6412148379 is 9738412146.

6412148379 is a `hidden beast` number, since 64 + 1 + 214 + 8 + 379 = 666.

It is not a de Polignac number, because 6412148379 - 2⁴ = 6412148363 is a prime.

It is a super-2 number, since 2×6412148379² = 82231293668624655282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6412148389) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72046567 + ... + 72046655.

It is an arithmetic number, because the mean of its divisors is an integer number (64638000).

Almost surely, 2^6412148379 is an apocalyptic number.

6412148379 is a deficient number, since it is larger than the sum of its proper divisors (5998347621).

6412148379 is a wasteful number, since it uses less digits than its factorization.

6412148379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 242 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 6412148379 is about 80075.8913718730. The cubic root of 6412148379 is about 1857.8095363567.

The spelling of 6412148379 in words is "six billion, four hundred twelve million, one hundred forty-eight thousand, three hundred seventy-nine".