38302124254641 has 81 divisors (see below), whose sum is σ = 61915416342507. Its totient is φ = 22805742080160.

The previous prime is 38302124254631. The next prime is 38302124254687. The reversal of 38302124254641 is 14645242120383.

The square root of 38302124254641 is 6188871.

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

38302124254641 is a `hidden beast` number, since 3 + 8 + 3 + 0 + 21 + 2 + 42 + 546 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5665994712225 + 32636129542416 = 2380335^2 + 5712804^2 .

It is not a de Polignac number, because 38302124254641 - 2²³ = 38302115866033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38302124254631) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7482342480 + ... + 7482347598.

Almost surely, 2^{38302124254641} is an apocalyptic number.

38302124254641 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

38302124254641 is the 6188871-st square number.

38302124254641 is the 3094436-th centered octagonal number.

It is an amenable number.

38302124254641 is a deficient number, since it is larger than the sum of its proper divisors (23613292087866).

38302124254641 is an frugal number, since it uses more digits than its factorization.

38302124254641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332 (or 5166 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 38302124254641 in words is "thirty-eight trillion, three hundred two billion, one hundred twenty-four million, two hundred fifty-four thousand, six hundred forty-one".