148804336800 has 1296 divisors, whose sum is σ = 652964457600. Its totient is φ = 31701196800.

The previous prime is 148804336799. The next prime is 148804336847. The reversal of 148804336800 is 8633408841.

148804336800 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 529552660 + ... + 529552940.

It is an arithmetic number, because the mean of its divisors is an integer number (503830600).

Almost surely, 2^148804336800 is an apocalyptic number.

148804336800 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 148804336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326482228800).

148804336800 is an abundant number, since it is smaller than the sum of its proper divisors (504160120800).

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

148804336800 is a wasteful number, since it uses less digits than its factorization.

148804336800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 148804336800 in words is "one hundred forty-eight billion, eight hundred four million, three hundred thirty-six thousand, eight hundred".