38383315712329 has 9 divisors (see below), whose sum is σ = 44650029950631. Its totient is φ = 32899947723720.

The previous prime is 38383315712303. The next prime is 38383315712453. The reversal of 38383315712329 is 92321751338383.

It is a happy number.

The square root of 38383315712329 is 6195427.

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

It can be written as a sum of positive squares in only one way, i.e., 21816624863929 + 16566690848400 = 4670827^2 + 4070220^2 .

It is not a de Polignac number, because 38383315712329 - 2¹⁷ = 38383315581257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38383315712129) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42925459 + ... + 43810519.

It is an arithmetic number, because the mean of its divisors is an integer number (4961114438959).

Almost surely, 2^{38383315712329} is an apocalyptic number.

38383315712329 is the 6195427-th square number.

38383315712329 is the 3097714-th centered octagonal number.

It is an amenable number.

38383315712329 is a deficient number, since it is larger than the sum of its proper divisors (6266714238302).

38383315712329 is an frugal number, since it uses more digits than its factorization.

38383315712329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770136 (or 885068 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 58.

The spelling of 38383315712329 in words is "thirty-eight trillion, three hundred eighty-three billion, three hundred fifteen million, seven hundred twelve thousand, three hundred twenty-nine".