6612631146 has 96 divisors (see below), whose sum is σ = 16586519040. Its totient is φ = 1884141600.

The previous prime is 6612631141. The next prime is 6612631147. The reversal of 6612631146 is 6411362166.

It is a happy number.

6612631146 is a `hidden beast` number, since 6 + 6 + 1 + 2 + 631 + 14 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6612631146.

It is not an unprimeable number, because it can be changed into a prime (6612631141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256381 + ... + 280991.

It is an arithmetic number, because the mean of its divisors is an integer number (172776240).

Almost surely, 2^6612631146 is an apocalyptic number.

6612631146 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 6612631146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8293259520).

6612631146 is an abundant number, since it is smaller than the sum of its proper divisors (9973887894).

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

6612631146 is a wasteful number, since it uses less digits than its factorization.

6612631146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24712 (or 24709 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 6612631146 is about 81318.0862170280. The cubic root of 6612631146 is about 1876.9733200224.

The spelling of 6612631146 in words is "six billion, six hundred twelve million, six hundred thirty-one thousand, one hundred forty-six".