6146140000 has 480 divisors, whose sum is σ = 20367680256. Its totient is φ = 1762560000.

The previous prime is 6146139943. The next prime is 6146140001. The reversal of 6146140000 is 416416.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6146140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20019847 + ... + 20020153.

Almost surely, 2^6146140000 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 6146140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10183840128).

6146140000 is an abundant number, since it is smaller than the sum of its proper divisors (14221540256).

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

6146140000 is a wasteful number, since it uses less digits than its factorization.

6146140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 6146140000 is about 78397.3213828126. The cubic root of 6146140000 is about 1831.7554099707.

Adding to 6146140000 its reverse (416416), we get a palindrome (6146556416).

It can be divided in two parts, 614 and 6140000, that multiplied together give a square (3769960000 = 61400²).

The spelling of 6146140000 in words is "six billion, one hundred forty-six million, one hundred forty thousand".