38821214961 has 9 divisors (see below), whose sum is σ = 56075942091. Its totient is φ = 25880415912.

The previous prime is 38821214921. The next prime is 38821214963. The reversal of 38821214961 is 16941212883.

The square root of 38821214961 is 197031.

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

38821214961 is a `hidden beast` number, since 38 + 8 + 2 + 121 + 496 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6044285025 + 32776929936 = 77745^2 + 181044^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 38821214961 - 2¹⁵ = 38821182193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38821214963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 558255 + ... + 623931.

Almost surely, 2^38821214961 is an apocalyptic number.

38821214961 is the 197031-st square number.

38821214961 is the 98516-th centered octagonal number.

It is an amenable number.

38821214961 is a deficient number, since it is larger than the sum of its proper divisors (17254727130).

38821214961 is an frugal number, since it uses more digits than its factorization.

38821214961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131360 (or 65680 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 38821214961 in words is "thirty-eight billion, eight hundred twenty-one million, two hundred fourteen thousand, nine hundred sixty-one".