38485992949264 has 135 divisors (see below), whose sum is σ = 92150360691687. Its totient is φ = 15522570749952.

The previous prime is 38485992949253. The next prime is 38485992949267. The reversal of 38485992949264 is 46294929958483.

The square root of 38485992949264 is 6203708.

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 6419595150864 + 32066397798400 = 2533692^2 + 5662720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38485992949267) 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 26 ways as a sum of consecutive naturals, for example, 2952958492 + ... + 2952971524.

Almost surely, 2^{38485992949264} is an apocalyptic number.

38485992949264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

38485992949264 is the 6203708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38485992949264

38485992949264 is an abundant number, since it is smaller than the sum of its proper divisors (53664367742423).

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

38485992949264 is an frugal number, since it uses more digits than its factorization.

38485992949264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26122 (or 13059 counting only the distinct ones).

The product of its digits is 9674588160, while the sum is 82.

The spelling of 38485992949264 in words is "thirty-eight trillion, four hundred eighty-five billion, nine hundred ninety-two million, nine hundred forty-nine thousand, two hundred sixty-four".