6146389872 has 240 divisors, whose sum is σ = 20264774400. Its totient is φ = 1738203264.

The previous prime is 6146389853. The next prime is 6146389883. The reversal of 6146389872 is 2789836416.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5284363 + ... + 5285525.

It is an arithmetic number, because the mean of its divisors is an integer number (84436560).

Almost surely, 2^6146389872 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 6146389872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10132387200).

6146389872 is an abundant number, since it is smaller than the sum of its proper divisors (14118384528).

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

6146389872 is a wasteful number, since it uses less digits than its factorization.

6146389872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1282 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 6146389872 is about 78398.9149924921. The cubic root of 6146389872 is about 1831.7802330404.

The spelling of 6146389872 in words is "six billion, one hundred forty-six million, three hundred eighty-nine thousand, eight hundred seventy-two".