493793023752 has 288 divisors, whose sum is σ = 1648532784600. Its totient is φ = 132678217728.

The previous prime is 493793023733. The next prime is 493793023753. The reversal of 493793023752 is 257320397394.

493793023752 is a `hidden beast` number, since 4 + 9 + 379 + 30 + 237 + 5 + 2 = 666.

493793023752 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 443548008036 + 50245015716 = 665994^2 + 224154^2 .

It is a super-2 number, since 2×493793023752² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (493793023753) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100097478 + ... + 100102410.

Almost surely, 2^493793023752 is an apocalyptic number.

493793023752 is a gapful number since it is divisible by the number (42) 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 493793023752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824266392300).

493793023752 is an abundant number, since it is smaller than the sum of its proper divisors (1154739760848).

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

493793023752 is a wasteful number, since it uses less digits than its factorization.

493793023752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6645 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 493793023752 in words is "four hundred ninety-three billion, seven hundred ninety-three million, twenty-three thousand, seven hundred fifty-two".