493128325248 has 512 divisors, whose sum is σ = 1539032140800. Its totient is φ = 138506403840.

The previous prime is 493128325237. The next prime is 493128325267. The reversal of 493128325248 is 842523821394.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 493128325248.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 831582040 + ... + 831582632.

It is an arithmetic number, because the mean of its divisors is an integer number (3005922150).

Almost surely, 2^493128325248 is an apocalyptic number.

493128325248 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 493128325248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769516070400).

493128325248 is an abundant number, since it is smaller than the sum of its proper divisors (1045903815552).

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

493128325248 is a wasteful number, since it uses less digits than its factorization.

493128325248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 908 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The spelling of 493128325248 in words is "four hundred ninety-three billion, one hundred twenty-eight million, three hundred twenty-five thousand, two hundred forty-eight".