4723493689600 has 243 divisors, whose sum is σ = 13603687668291. Its totient is φ = 1619066265600.

The previous prime is 4723493689583. The next prime is 4723493689631. The reversal of 4723493689600 is 69863943274.

The square root of 4723493689600 is 2173360.

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

It can be written as a sum of positive squares in 4 ways, for example, as 486820096 + 4723006869504 = 22064^2 + 2173248^2 .

It is a super-2 number, since 2×4723493689600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1217079660 + ... + 1217083540.

Almost surely, 2^{4723493689600} is an apocalyptic number.

4723493689600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4723493689600 is the 2173360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4723493689600

4723493689600 is an abundant number, since it is smaller than the sum of its proper divisors (8880193978691).

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

4723493689600 is an frugal number, since it uses more digits than its factorization.

4723493689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7802 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 61.

The spelling of 4723493689600 in words is "four trillion, seven hundred twenty-three billion, four hundred ninety-three million, six hundred eighty-nine thousand, six hundred".