146376419112 has 768 divisors, whose sum is σ = 540546048000. Its totient is φ = 35866575360.

The previous prime is 146376419071. The next prime is 146376419113. The reversal of 146376419112 is 211914673641.

146376419112 is a `hidden beast` number, since 1 + 4 + 637 + 6 + 4 + 1 + 9 + 1 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (146376419113) 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 191 ways as a sum of consecutive naturals, for example, 249363283 + ... + 249363869.

It is an arithmetic number, because the mean of its divisors is an integer number (703836000).

Almost surely, 2^146376419112 is an apocalyptic number.

146376419112 is a gapful number since it is divisible by the number (12) 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 146376419112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270273024000).

146376419112 is an abundant number, since it is smaller than the sum of its proper divisors (394169628888).

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

146376419112 is a wasteful number, since it uses less digits than its factorization.

146376419112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 686 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 146376419112 in words is "one hundred forty-six billion, three hundred seventy-six million, four hundred nineteen thousand, one hundred twelve".