498633643872 has 1344 divisors, whose sum is σ = 1970685085824. Its totient is φ = 120394874880.

The previous prime is 498633643841. The next prime is 498633643873. The reversal of 498633643872 is 278346336894.

498633643872 is a `hidden beast` number, since 49 + 8 + 63 + 36 + 438 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498633643873) 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 223 ways as a sum of consecutive naturals, for example, 1479624888 + ... + 1479625224.

It is an arithmetic number, because the mean of its divisors is an integer number (1466283546).

Almost surely, 2^498633643872 is an apocalyptic number.

498633643872 is a gapful number since it is divisible by the number (42) 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 498633643872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985342542912).

498633643872 is an abundant number, since it is smaller than the sum of its proper divisors (1472051441952).

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

498633643872 is a wasteful number, since it uses less digits than its factorization.

498633643872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 420 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 498633643872 in words is "four hundred ninety-eight billion, six hundred thirty-three million, six hundred forty-three thousand, eight hundred seventy-two".