492657994816 has 189 divisors, whose sum is σ = 1127377890909. Its totient is φ = 213466226688.

The previous prime is 492657994813. The next prime is 492657994841. The reversal of 492657994816 is 618499756294.

It is a happy number.

The square root of 492657994816 is 701896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 207826574400 + 284831420416 = 455880^2 + 533696^2 .

It is a super-2 number, since 2×492657994816² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (492657994813) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1240951930 + ... + 1240952326.

Almost surely, 2^492657994816 is an apocalyptic number.

492657994816 is the 701896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492657994816

492657994816 is an abundant number, since it is smaller than the sum of its proper divisors (634719896093).

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

492657994816 is an equidigital number, since it uses as much as digits as its factorization.

492657994816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 429 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 70.

The spelling of 492657994816 in words is "four hundred ninety-two billion, six hundred fifty-seven million, nine hundred ninety-four thousand, eight hundred sixteen".