481649784000 has 896 divisors, whose sum is σ = 1992393621504. Its totient is φ = 99601920000.

The previous prime is 481649783971. The next prime is 481649784001. The reversal of 481649784000 is 487946184.

It is not an unprimeable number, because it can be changed into a prime (481649784001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 486023505 + ... + 486024495.

Almost surely, 2^481649784000 is an apocalyptic number.

481649784000 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 481649784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996196810752).

481649784000 is an abundant number, since it is smaller than the sum of its proper divisors (1510743837504).

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

481649784000 is a wasteful number, since it uses less digits than its factorization.

481649784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 481649784000 in words is "four hundred eighty-one billion, six hundred forty-nine million, seven hundred eighty-four thousand".