38825311152016 has 45 divisors (see below), whose sum is σ = 75523901817819. Its totient is φ = 19335578155488.

The previous prime is 38825311152011. The next prime is 38825311152059. The reversal of 38825311152016 is 61025111352883.

The square root of 38825311152016 is 6230996.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38825311152011) 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, 6555004831 + ... + 6555010753.

Almost surely, 2^{38825311152016} is an apocalyptic number.

38825311152016 is the 6230996-th square number.

It is an amenable number.

38825311152016 is a deficient number, since it is larger than the sum of its proper divisors (36698590665803).

38825311152016 is an frugal number, since it uses more digits than its factorization.

38825311152016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12380 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The spelling of 38825311152016 in words is "thirty-eight trillion, eight hundred twenty-five billion, three hundred eleven million, one hundred fifty-two thousand, sixteen".