146381319612 has 384 divisors, whose sum is σ = 436338524160. Its totient is φ = 42387364800.

The previous prime is 146381319611. The next prime is 146381319653. The reversal of 146381319612 is 216913183641.

146381319612 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 8 + 13 + 19 + 612 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146381319611) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 476811963 + ... + 476812269.

It is an arithmetic number, because the mean of its divisors is an integer number (1136298240).

Almost surely, 2^146381319612 is an apocalyptic number.

146381319612 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 146381319612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218169262080).

146381319612 is an abundant number, since it is smaller than the sum of its proper divisors (289957204548).

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

146381319612 is a wasteful number, since it uses less digits than its factorization.

146381319612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 461 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 146381319612 in words is "one hundred forty-six billion, three hundred eighty-one million, three hundred nineteen thousand, six hundred twelve".