6146917128 has 144 divisors (see below), whose sum is σ = 18746336700. Its totient is φ = 1817164800.

The previous prime is 6146917109. The next prime is 6146917151. The reversal of 6146917128 is 8217196416.

6146917128 is a `hidden beast` number, since 61 + 469 + 1 + 7 + 128 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5591749284 + 555167844 = 74778^2 + 23562^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348588 + ... + 365796.

Almost surely, 2^6146917128 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 6146917128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9373168350).

6146917128 is an abundant number, since it is smaller than the sum of its proper divisors (12599419572).

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

6146917128 is a wasteful number, since it uses less digits than its factorization.

6146917128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17284 (or 17266 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 6146917128 is about 78402.2775689584. The cubic root of 6146917128 is about 1831.8326101009.

The spelling of 6146917128 in words is "six billion, one hundred forty-six million, nine hundred seventeen thousand, one hundred twenty-eight".