492801281634816 has 1280 divisors, whose sum is σ = 1843201496125440. Its totient is φ = 127855953100800.

The previous prime is 492801281634799. The next prime is 492801281634829. The reversal of 492801281634816 is 618436182108294.

It is a happy number.

492801281634816 is a `hidden beast` number, since 4 + 9 + 2 + 8 + 0 + 1 + 281 + 6 + 348 + 1 + 6 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 91479722875 + ... + 91479728261.

It is an arithmetic number, because the mean of its divisors is an integer number (1440001168848).

Almost surely, 2^{492801281634816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492801281634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921600748062720).

492801281634816 is an abundant number, since it is smaller than the sum of its proper divisors (1350400214490624).

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

492801281634816 is an equidigital number, since it uses as much as digits as its factorization.

492801281634816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6505 (or 6471 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 492801281634816 in words is "four hundred ninety-two trillion, eight hundred one billion, two hundred eighty-one million, six hundred thirty-four thousand, eight hundred sixteen".