463883354028 has 120 divisors (see below), whose sum is σ = 1237647851440. Its totient is φ = 152091328320.

The previous prime is 463883354021. The next prime is 463883354029. The reversal of 463883354028 is 820453388364.

463883354028 is a `hidden beast` number, since 4 + 63 + 8 + 8 + 33 + 540 + 2 + 8 = 666.

It is a super-2 number, since 2×463883354028² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (463883354021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4754358 + ... + 4850946.

Almost surely, 2^463883354028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463883354028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618823925720).

463883354028 is an abundant number, since it is smaller than the sum of its proper divisors (773764497412).

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

463883354028 is an frugal number, since it uses more digits than its factorization.

463883354028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96681 (or 96655 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 463883354028 in words is "four hundred sixty-three billion, eight hundred eighty-three million, three hundred fifty-four thousand, twenty-eight".