492261314688 has 1536 divisors, whose sum is σ = 1867028889600. Its totient is φ = 126456422400.

The previous prime is 492261314687. The next prime is 492261314723. The reversal of 492261314688 is 886413162294.

492261314688 is a `hidden beast` number, since 4 + 9 + 2 + 2 + 613 + 14 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492261314687) 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, 3876073281 + ... + 3876073407.

It is an arithmetic number, because the mean of its divisors is an integer number (1215513600).

Almost surely, 2^492261314688 is an apocalyptic number.

492261314688 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 492261314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933514444800).

492261314688 is an abundant number, since it is smaller than the sum of its proper divisors (1374767574912).

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

492261314688 is a wasteful number, since it uses less digits than its factorization.

492261314688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 210 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 492261314688 in words is "four hundred ninety-two billion, two hundred sixty-one million, three hundred fourteen thousand, six hundred eighty-eight".