463803648000 has 2304 divisors, whose sum is σ = 2088052162560. Its totient is φ = 89210880000.

The previous prime is 463803647941. The next prime is 463803648001. The reversal of 463803648000 is 846308364.

It is a super-2 number, since 2×463803648000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (463803648001) by changing a digit.

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, 14961407985 + ... + 14961408015.

It is an arithmetic number, because the mean of its divisors is an integer number (906272640).

Almost surely, 2^463803648000 is an apocalyptic number.

463803648000 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 463803648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044026081280).

463803648000 is an abundant number, since it is smaller than the sum of its proper divisors (1624248514560).

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

463803648000 is a wasteful number, since it uses less digits than its factorization.

463803648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

It can be divided in two parts, 46380364 and 8000, that added together give a palindrome (46388364).

The spelling of 463803648000 in words is "four hundred sixty-three billion, eight hundred three million, six hundred forty-eight thousand".