492150816000 has 1512 divisors, whose sum is σ = 1979409980184. Its totient is φ = 121828147200.

The previous prime is 492150815993. The next prime is 492150816037. The reversal of 492150816000 is 618051294.

492150816000 is a `hidden beast` number, since 4 + 92 + 1 + 508 + 1 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 189245880576 + 302904935424 = 435024^2 + 550368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 6741791964 + ... + 6741792036.

Almost surely, 2^492150816000 is an apocalyptic number.

492150816000 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 492150816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989704990092).

492150816000 is an abundant number, since it is smaller than the sum of its proper divisors (1487259164184).

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

492150816000 is an frugal number, since it uses more digits than its factorization.

492150816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 492150816000 its reverse (618051294), we get a palindrome (492768867294).

The spelling of 492150816000 in words is "four hundred ninety-two billion, one hundred fifty million, eight hundred sixteen thousand".