1038352848016 has 45 divisors (see below), whose sum is σ = 2211422344243. Its totient is φ = 471958187360.

The previous prime is 1038352848011. The next prime is 1038352848031. The reversal of 1038352848016 is 6108482538301.

It is a happy number.

The square root of 1038352848016 is 1018996.

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

It is a super-3 number, since 3×1038352848016³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1038352848011) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 44824245 + ... + 44847403.

Almost surely, 2^{1038352848016} is an apocalyptic number.

1038352848016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1038352848016 is the 1018996-th square number.

It is an amenable number.

1038352848016 is an abundant number, since it is smaller than the sum of its proper divisors (1173069496227).

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

1038352848016 is an frugal number, since it uses more digits than its factorization.

1038352848016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46348 (or 23172 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

Multiplying 1038352848016 by its sum of digits (49), we get a square (50879289552784 = 7132972²).

The spelling of 1038352848016 in words is "one trillion, thirty-eight billion, three hundred fifty-two million, eight hundred forty-eight thousand, sixteen".