494833198848000 has 768 divisors, whose sum is σ = 1673621888440320. Its totient is φ = 129790771200000.

The previous prime is 494833198847983. The next prime is 494833198848029. The reversal of 494833198848000 is 848891338494.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12142827625 + ... + 12142868375.

It is an arithmetic number, because the mean of its divisors is an integer number (2179195167240).

Almost surely, 2^{494833198848000} is an apocalyptic number.

494833198848000 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 494833198848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836810944220160).

494833198848000 is an abundant number, since it is smaller than the sum of its proper divisors (1178788689592320).

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

494833198848000 is a wasteful number, since it uses less digits than its factorization.

494833198848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41051 (or 41021 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 69.

The spelling of 494833198848000 in words is "four hundred ninety-four trillion, eight hundred thirty-three billion, one hundred ninety-eight million, eight hundred forty-eight thousand".