498350361600 has 2640 divisors, whose sum is σ = 2407913939200. Its totient is φ = 98895790080.

The previous prime is 498350361589. The next prime is 498350361617. The reversal of 498350361600 is 6163053894.

498350361600 is a `hidden beast` number, since 4 + 9 + 8 + 3 + 5 + 0 + 36 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 3585254331 + ... + 3585254469.

Almost surely, 2^498350361600 is an apocalyptic number.

498350361600 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 498350361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203956969600).

498350361600 is an abundant number, since it is smaller than the sum of its proper divisors (1909563577600).

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

498350361600 is a wasteful number, since it uses less digits than its factorization.

498350361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 498350361600 in words is "four hundred ninety-eight billion, three hundred fifty million, three hundred sixty-one thousand, six hundred".