1481548442304 has 336 divisors, whose sum is σ = 4689840008160. Its totient is φ = 411271741440.

The previous prime is 1481548442303. The next prime is 1481548442321. The reversal of 1481548442304 is 4032448451841.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1481548442304³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1481548442303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 281607034 + ... + 281612294.

Almost surely, 2^{1481548442304} is an apocalyptic number.

1481548442304 is a gapful number since it is divisible by the number (14) 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 1481548442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344920004080).

1481548442304 is an abundant number, since it is smaller than the sum of its proper divisors (3208291565856).

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

1481548442304 is a wasteful number, since it uses less digits than its factorization.

1481548442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 1481548442304 in words is "one trillion, four hundred eighty-one billion, five hundred forty-eight million, four hundred forty-two thousand, three hundred four".