492711241248 has 288 divisors, whose sum is σ = 1524374691840. Its totient is φ = 150385559040.

The previous prime is 492711241219. The next prime is 492711241313. The reversal of 492711241248 is 842142117294.

492711241248 is a `hidden beast` number, since 492 + 7 + 11 + 24 + 124 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×492711241248³ (a number of 36 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 201351961 + ... + 201354407.

It is an arithmetic number, because the mean of its divisors is an integer number (5292967680).

Almost surely, 2^492711241248 is an apocalyptic number.

492711241248 is a gapful number since it is divisible by the number (48) 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 492711241248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762187345920).

492711241248 is an abundant number, since it is smaller than the sum of its proper divisors (1031663450592).

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

492711241248 is a wasteful number, since it uses less digits than its factorization.

492711241248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3689 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 492711241248 in words is "four hundred ninety-two billion, seven hundred eleven million, two hundred forty-one thousand, two hundred forty-eight".