6146284160 has 128 divisors (see below), whose sum is σ = 15532560000. Its totient is φ = 2319224832.

The previous prime is 6146284139. The next prime is 6146284169. The reversal of 6146284160 is 614826416.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (6146284169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3270101 + ... + 3271979.

It is an arithmetic number, because the mean of its divisors is an integer number (121348125).

Almost surely, 2^6146284160 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 6146284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7766280000).

6146284160 is an abundant number, since it is smaller than the sum of its proper divisors (9386275840).

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

6146284160 is a wasteful number, since it uses less digits than its factorization.

6146284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 6146284160 is about 78398.2407965893. The cubic root of 6146284160 is about 1831.7697313602.

The spelling of 6146284160 in words is "six billion, one hundred forty-six million, two hundred eighty-four thousand, one hundred sixty".