481099608000 has 896 divisors, whose sum is σ = 2027100441600. Its totient is φ = 110481408000.

The previous prime is 481099607987. The next prime is 481099608037. The reversal of 481099608000 is 806990184.

481099608000 is a `hidden beast` number, since 481 + 0 + 9 + 96 + 0 + 80 + 0 + 0 = 666.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 45138672 + ... + 45149328.

Almost surely, 2^481099608000 is an apocalyptic number.

481099608000 is a gapful number since it is divisible by the number (40) 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 481099608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013550220800).

481099608000 is an abundant number, since it is smaller than the sum of its proper divisors (1546000833600).

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

481099608000 is a wasteful number, since it uses less digits than its factorization.

481099608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10723 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 481099608000 in words is "four hundred eighty-one billion, ninety-nine million, six hundred eight thousand".