498004188336000 has 1536 divisors, whose sum is σ = 1909300473400320. Its totient is φ = 128928767385600.

The previous prime is 498004188335989. The next prime is 498004188336019. The reversal of 498004188336000 is 633881400894.

498004188336000 is a `hidden beast` number, since 4 + 98 + 0 + 0 + 418 + 83 + 3 + 60 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27919719082 + ... + 27919736918.

It is an arithmetic number, because the mean of its divisors is an integer number (1243034162370).

Almost surely, 2^{498004188336000} is an apocalyptic number.

498004188336000 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 498004188336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954650236700160).

498004188336000 is an abundant number, since it is smaller than the sum of its proper divisors (1411296285064320).

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

498004188336000 is a wasteful number, since it uses less digits than its factorization.

498004188336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18091 (or 18057 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 498004188336000 in words is "four hundred ninety-eight trillion, four billion, one hundred eighty-eight million, three hundred thirty-six thousand".