6146712000 has 896 divisors, whose sum is σ = 26627328000. Its totient is φ = 1368576000.

The previous prime is 6146711969. The next prime is 6146712017. The reversal of 6146712000 is 2176416.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 30887901 + ... + 30888099.

It is an arithmetic number, because the mean of its divisors is an integer number (29718000).

Almost surely, 2^6146712000 is an apocalyptic number.

6146712000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6146712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313664000).

6146712000 is an abundant number, since it is smaller than the sum of its proper divisors (20480616000).

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

6146712000 is a wasteful number, since it uses less digits than its factorization.

6146712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6146712000 is about 78400.9693817621. The cubic root of 6146712000 is about 1831.8122332556.

Adding to 6146712000 its reverse (2176416), we get a palindrome (6148888416).

The spelling of 6146712000 in words is "six billion, one hundred forty-six million, seven hundred twelve thousand".