463147849728 has 240 divisors, whose sum is σ = 1392277526640. Its totient is φ = 153390661632.

The previous prime is 463147849657. The next prime is 463147849763. The reversal of 463147849728 is 827948741364.

463147849728 is a `hidden beast` number, since 4 + 63 + 14 + 78 + 497 + 2 + 8 = 666.

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 19 ways as a sum of consecutive naturals, for example, 26035525 + ... + 26053307.

It is an arithmetic number, because the mean of its divisors is an integer number (5801156361).

Almost surely, 2^463147849728 is an apocalyptic number.

463147849728 is a gapful number since it is divisible by the number (48) 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 463147849728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696138763320).

463147849728 is an abundant number, since it is smaller than the sum of its proper divisors (929129676912).

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

463147849728 is a wasteful number, since it uses less digits than its factorization.

463147849728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17974 (or 17945 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 463147849728 in words is "four hundred sixty-three billion, one hundred forty-seven million, eight hundred forty-nine thousand, seven hundred twenty-eight".