38451680281 has 27 divisors (see below), whose sum is σ = 45319972509. Its totient is φ = 32529143808.

The previous prime is 38451680269. The next prime is 38451680291. The reversal of 38451680281 is 18208615483.

The square root of 38451680281 is 196091.

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 22199510025 + 16252170256 = 148995^2 + 127484^2 .

It is not a de Polignac number, because 38451680281 - 2¹⁵ = 38451647513 is a prime.

It is a super-2 number, since 2×38451680281² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38451680251) 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, 149617305 + ... + 149617561.

Almost surely, 2^38451680281 is an apocalyptic number.

38451680281 is the 196091-st square number.

38451680281 is the 98046-th centered octagonal number.

It is an amenable number.

38451680281 is a deficient number, since it is larger than the sum of its proper divisors (6868292228).

38451680281 is an frugal number, since it uses more digits than its factorization.

38451680281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 38451680281 in words is "thirty-eight billion, four hundred fifty-one million, six hundred eighty thousand, two hundred eighty-one".