492047319456 has 1152 divisors, whose sum is σ = 1936852549632. Its totient is φ = 114573312000.

The previous prime is 492047319451. The next prime is 492047319493. The reversal of 492047319456 is 654913740294.

It is a super-2 number, since 2×492047319456² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (492047319451) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 829759096 + ... + 829759688.

It is an arithmetic number, because the mean of its divisors is an integer number (1681295616).

Almost surely, 2^492047319456 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 492047319456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968426274816).

492047319456 is an abundant number, since it is smaller than the sum of its proper divisors (1444805230176).

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

492047319456 is a wasteful number, since it uses less digits than its factorization.

492047319456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 492047319456 in words is "four hundred ninety-two billion, forty-seven million, three hundred nineteen thousand, four hundred fifty-six".