6412552146 has 192 divisors, whose sum is σ = 18718801920. Its totient is φ = 1532200320.

The previous prime is 6412552129. The next prime is 6412552147.

6412552146 is a `hidden beast` number, since 6 + 4 + 125 + 521 + 4 + 6 = 666.

6412552146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6412552146² = 82241650050338410632, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6412552146.

It is not an unprimeable number, because it can be changed into a prime (6412552147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8630251 + ... + 8630993.

It is an arithmetic number, because the mean of its divisors is an integer number (97493760).

Almost surely, 2^6412552146 is an apocalyptic number.

6412552146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6412552146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359400960).

6412552146 is an abundant number, since it is smaller than the sum of its proper divisors (12306249774).

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

6412552146 is a wasteful number, since it uses less digits than its factorization.

6412552146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1258 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 6412552146 is about 80078.4124842644. The cubic root of 6412552146 is about 1857.8485303826.

The spelling of 6412552146 in words is "six billion, four hundred twelve million, five hundred fifty-two thousand, one hundred forty-six".