738052810000 has 375 divisors, whose sum is σ = 1993651526515. Its totient is φ = 264602800000.

The previous prime is 738052809953. The next prime is 738052810031. The reversal of 738052810000 is 18250837.

The square root of 738052810000 is 859100.

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

It can be written as a sum of positive squares in 2 ways, for example, as 57863340304 + 680189469696 = 240548^2 + 824736^2 .

It is a super-2 number, since 2×738052810000² (a number of 25 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 74 ways as a sum of consecutive naturals, for example, 10395109965 + ... + 10395110035.

Almost surely, 2^738052810000 is an apocalyptic number.

738052810000 is the 859100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738052810000

738052810000 is an abundant number, since it is smaller than the sum of its proper divisors (1255598716515).

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

738052810000 is an frugal number, since it uses more digits than its factorization.

738052810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 738052810000 in words is "seven hundred thirty-eight billion, fifty-two million, eight hundred ten thousand".