493149001153536 has 3168 divisors, whose sum is σ = 1881617826192000. Its totient is φ = 124167247626240.

The previous prime is 493149001153531. The next prime is 493149001153561. The reversal of 493149001153536 is 635351100941394.

It is a happy number.

493149001153536 is a `hidden beast` number, since 4 + 9 + 3 + 1 + 4 + 90 + 0 + 1 + 15 + 3 + 536 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493149001153531) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1205743278900 + ... + 1205743279308.

Almost surely, 2^{493149001153536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493149001153536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940808913096000).

493149001153536 is an abundant number, since it is smaller than the sum of its proper divisors (1388468825038464).

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

493149001153536 is a wasteful number, since it uses less digits than its factorization.

493149001153536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 493149001153536 in words is "four hundred ninety-three trillion, one hundred forty-nine billion, one million, one hundred fifty-three thousand, five hundred thirty-six".