146043451008 has 960 divisors, whose sum is σ = 551094984000. Its totient is φ = 38516954112.

The previous prime is 146043450997. The next prime is 146043451013. The reversal of 146043451008 is 800154340641.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

146043451008 is a `hidden beast` number, since 1 + 4 + 604 + 3 + 45 + 1 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 11234111610 + ... + 11234111622.

It is an arithmetic number, because the mean of its divisors is an integer number (574057275).

Almost surely, 2^146043451008 is an apocalyptic number.

146043451008 is a gapful number since it is divisible by the number (18) 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 146043451008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275547492000).

146043451008 is an abundant number, since it is smaller than the sum of its proper divisors (405051532992).

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

146043451008 is an frugal number, since it uses more digits than its factorization.

146043451008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 146043451008 its reverse (800154340641), we get a palindrome (946197791649).

The spelling of 146043451008 in words is "one hundred forty-six billion, forty-three million, four hundred fifty-one thousand, eight".