493006196736 has 585 divisors, whose sum is σ = 1569165588529. Its totient is φ = 154224525312.

The previous prime is 493006196707. The next prime is 493006196791. The reversal of 493006196736 is 637691600394.

The square root of 493006196736 is 702144.

It is a perfect power (a square), and thus also a powerful number.

493006196736 is a `hidden beast` number, since 493 + 0 + 0 + 61 + 9 + 67 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 355406745600 + 137599451136 = 596160^2 + 370944^2 .

It is a super-2 number, since 2×493006196736² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9302003686 + ... + 9302003738.

Almost surely, 2^493006196736 is an apocalyptic number.

493006196736 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

493006196736 is the 702144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493006196736

493006196736 is an abundant number, since it is smaller than the sum of its proper divisors (1076159391793).

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

493006196736 is an frugal number, since it uses more digits than its factorization.

493006196736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 493006196736 in words is "four hundred ninety-three billion, six million, one hundred ninety-six thousand, seven hundred thirty-six".