1481074848000 has 1728 divisors, whose sum is σ = 6215450142720. Its totient is φ = 346705920000.

The previous prime is 1481074847981. The next prime is 1481074848037. The reversal of 1481074848000 is 8484701841.

It is a happy number.

1481074848000 is a `hidden beast` number, since 14 + 81 + 0 + 7 + 484 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3240863772 + ... + 3240864228.

Almost surely, 2^{1481074848000} is an apocalyptic number.

1481074848000 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 1481074848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107725071360).

1481074848000 is an abundant number, since it is smaller than the sum of its proper divisors (4734375294720).

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

1481074848000 is a wasteful number, since it uses less digits than its factorization.

1481074848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 1481074848000 in words is "one trillion, four hundred eighty-one billion, seventy-four million, eight hundred forty-eight thousand".