146376240912 has 160 divisors (see below), whose sum is σ = 462889480320. Its totient is φ = 43917120000.

The previous prime is 146376240889. The next prime is 146376240917. The reversal of 146376240912 is 219042673641.

146376240912 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 7 + 624 + 0 + 9 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (146376240917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327462 + ... + 632442.

It is an arithmetic number, because the mean of its divisors is an integer number (2893059252).

Almost surely, 2^146376240912 is an apocalyptic number.

146376240912 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 146376240912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231444740160).

146376240912 is an abundant number, since it is smaller than the sum of its proper divisors (316513239408).

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

146376240912 is a wasteful number, since it uses less digits than its factorization.

146376240912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305110 (or 305098 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 146376240912 in words is "one hundred forty-six billion, three hundred seventy-six million, two hundred forty thousand, nine hundred twelve".