481789008000 has 192 divisors, whose sum is σ = 1730225292120. Its totient is φ = 128477030400.

The previous prime is 481789007941. The next prime is 481789008013. The reversal of 481789008000 is 800987184.

481789008000 is a `hidden beast` number, since 481 + 7 + 8 + 90 + 0 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90043205184 + 391745802816 = 300072^2 + 625896^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1528879 + ... + 1816878.

Almost surely, 2^481789008000 is an apocalyptic number.

481789008000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481789008000 is an abundant number, since it is smaller than the sum of its proper divisors (1248436284120).

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

481789008000 is a wasteful number, since it uses less digits than its factorization.

481789008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345792 (or 3345767 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 481789008000 in words is "four hundred eighty-one billion, seven hundred eighty-nine million, eight thousand".