148446904320 has 792 divisors, whose sum is σ = 609163790508. Its totient is φ = 33218887680.

The previous prime is 148446904273. The next prime is 148446904321. The reversal of 148446904320 is 23409644841.

148446904320 is a `hidden beast` number, since 1 + 484 + 46 + 90 + 43 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138169810944 + 10277093376 = 371712^2 + 101376^2 .

It is a tau number, because it is divible by the number of its divisors (792).

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

It is not an unprimeable number, because it can be changed into a prime (148446904321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11418992634 + ... + 11418992646.

Almost surely, 2^148446904320 is an apocalyptic number.

148446904320 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 148446904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304581895254).

148446904320 is an abundant number, since it is smaller than the sum of its proper divisors (460716886188).

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

148446904320 is an frugal number, since it uses more digits than its factorization.

148446904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 148446904320 in words is "one hundred forty-eight billion, four hundred forty-six million, nine hundred four thousand, three hundred twenty".