493788814848 has 1400 divisors, whose sum is σ = 1879144403400. Its totient is φ = 129048256512.

The previous prime is 493788814811. The next prime is 493788814853. The reversal of 493788814848 is 848418887394.

493788814848 is a `hidden beast` number, since 493 + 7 + 8 + 88 + 14 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

Its product of digits (396361728) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 17027200498 + ... + 17027200526.

Almost surely, 2^493788814848 is an apocalyptic number.

493788814848 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 493788814848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939572201700).

493788814848 is an abundant number, since it is smaller than the sum of its proper divisors (1385355588552).

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

493788814848 is an frugal number, since it uses more digits than its factorization.

493788814848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 60 counting only the distinct ones).

The product of its digits is 396361728, while the sum is 72.

The spelling of 493788814848 in words is "four hundred ninety-three billion, seven hundred eighty-eight million, eight hundred fourteen thousand, eight hundred forty-eight".