492015148128 has 1080 divisors, whose sum is σ = 1810972007208. Its totient is φ = 131352689664.

The previous prime is 492015148123. The next prime is 492015148193. The reversal of 492015148128 is 821841510294.

492015148128 is a `hidden beast` number, since 4 + 9 + 2 + 0 + 1 + 514 + 8 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492015148123) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6739933500 + ... + 6739933572.

Almost surely, 2^492015148128 is an apocalyptic number.

492015148128 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 492015148128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905486003604).

492015148128 is an abundant number, since it is smaller than the sum of its proper divisors (1318956859080).

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

492015148128 is an frugal number, since it uses more digits than its factorization.

492015148128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 492015148128 in words is "four hundred ninety-two billion, fifteen million, one hundred forty-eight thousand, one hundred twenty-eight".