146232384480 has 1344 divisors, whose sum is σ = 666334771200. Its totient is φ = 29462704128.

The previous prime is 146232384433. The next prime is 146232384499. The reversal of 146232384480 is 84483232641.

It is a happy number.

146232384480 is a `hidden beast` number, since 1 + 4 + 62 + 32 + 3 + 84 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 244127221 + ... + 244127819.

It is an arithmetic number, because the mean of its divisors is an integer number (495784800).

Almost surely, 2^146232384480 is an apocalyptic number.

146232384480 is a gapful number since it is divisible by the number (10) 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 146232384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333167385600).

146232384480 is an abundant number, since it is smaller than the sum of its proper divisors (520102386720).

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

146232384480 is a wasteful number, since it uses less digits than its factorization.

146232384480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 146232384480 in words is "one hundred forty-six billion, two hundred thirty-two million, three hundred eighty-four thousand, four hundred eighty".